Differentiating random upper semicontinuous functions under the integral sign View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-06

AUTHORS

Luis J. Rodríguez-Muñiz, Miguel López-Díaz, M. Ángeles Gil

ABSTRACT

In this paper we analyze sufficient conditions to guarantee the differentiability under the integral sign of a certain class of random upper semicontinuous functions depending on a real-valued parameter. Several concepts of differential for this mappings are considered: the Fréchet differentiability of the support function, the π-differentiability, the De Blasi differentiability, and thes-differentiability. More... »

PAGES

241-258

Journal

TITLE

TEST

ISSUE

1

VOLUME

12

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02595821

DOI

http://dx.doi.org/10.1007/bf02595821

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009177315


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Oviedo", 
          "id": "https://www.grid.ac/institutes/grid.10863.3c", 
          "name": [
            "Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Universidad de Oviedo, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rodr\u00edguez-Mu\u00f1iz", 
        "givenName": "Luis J.", 
        "id": "sg:person.010256741453.82", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010256741453.82"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Oviedo", 
          "id": "https://www.grid.ac/institutes/grid.10863.3c", 
          "name": [
            "Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Universidad de Oviedo, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "L\u00f3pez-D\u00edaz", 
        "givenName": "Miguel", 
        "id": "sg:person.011473542121.33", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011473542121.33"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Oviedo", 
          "id": "https://www.grid.ac/institutes/grid.10863.3c", 
          "name": [
            "Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa, Universidad de Oviedo, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "\u00c1ngeles Gil", 
        "givenName": "M.", 
        "id": "sg:person.013420443231.50", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013420443231.50"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0022-247x(83)90169-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006858748"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0047-259x(77)90037-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006935561"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(90)90010-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026331413"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(90)90010-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026331413"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(97)00120-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031974336"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(65)90049-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035033125"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0165-0114(82)80001-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037547238"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1098/rspa.1986.0091", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037952295"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0378-3758(98)00100-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041120332"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(70)90078-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041144679"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-247x(86)90093-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043810381"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-0114(87)90120-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046665474"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/3468.725356", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061157644"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/0327070", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062844169"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/aop/1176992822", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064404500"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1512/iumj.1969.18.18006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1067510996"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2140/pjm.1976.66.67", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069066828"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/2032477", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069705609"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/2319163", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069885473"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/2326", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098876230"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00029890.1973.11993339", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1103215762"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2003-06", 
    "datePublishedReg": "2003-06-01", 
    "description": "In this paper we analyze sufficient conditions to guarantee the differentiability under the integral sign of a certain class of random upper semicontinuous functions depending on a real-valued parameter. Several concepts of differential for this mappings are considered: the Fr\u00e9chet differentiability of the support function, the \u03c0-differentiability, the De Blasi differentiability, and thes-differentiability.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf02595821", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1043392", 
        "issn": [
          "1133-0686", 
          "1863-8260"
        ], 
        "name": "TEST", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "12"
      }
    ], 
    "name": "Differentiating random upper semicontinuous functions under the integral sign", 
    "pagination": "241-258", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "2bb852eda441aacfd02f87b33d4b8aa905d0ca575770e1a9a772508a36c3478c"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02595821"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1009177315"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02595821", 
      "https://app.dimensions.ai/details/publication/pub.1009177315"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T12:56", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000365_0000000365/records_71673_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2FBF02595821"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf02595821'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf02595821'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02595821'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02595821'


 

This table displays all metadata directly associated to this object as RDF triples.

135 TRIPLES      21 PREDICATES      47 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02595821 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author Ne3bd4d5f2c9344d3bd614725393ec313
4 schema:citation https://doi.org/10.1016/0022-247x(65)90049-1
5 https://doi.org/10.1016/0022-247x(70)90078-8
6 https://doi.org/10.1016/0022-247x(83)90169-5
7 https://doi.org/10.1016/0022-247x(86)90093-4
8 https://doi.org/10.1016/0047-259x(77)90037-9
9 https://doi.org/10.1016/0165-0114(87)90120-5
10 https://doi.org/10.1016/0165-0114(90)90010-4
11 https://doi.org/10.1016/s0165-0114(82)80001-8
12 https://doi.org/10.1016/s0165-0114(97)00120-6
13 https://doi.org/10.1016/s0378-3758(98)00100-1
14 https://doi.org/10.1080/00029890.1973.11993339
15 https://doi.org/10.1098/rspa.1986.0091
16 https://doi.org/10.1109/3468.725356
17 https://doi.org/10.1137/0327070
18 https://doi.org/10.1142/2326
19 https://doi.org/10.1214/aop/1176992822
20 https://doi.org/10.1512/iumj.1969.18.18006
21 https://doi.org/10.2140/pjm.1976.66.67
22 https://doi.org/10.2307/2032477
23 https://doi.org/10.2307/2319163
24 schema:datePublished 2003-06
25 schema:datePublishedReg 2003-06-01
26 schema:description In this paper we analyze sufficient conditions to guarantee the differentiability under the integral sign of a certain class of random upper semicontinuous functions depending on a real-valued parameter. Several concepts of differential for this mappings are considered: the Fréchet differentiability of the support function, the π-differentiability, the De Blasi differentiability, and thes-differentiability.
27 schema:genre research_article
28 schema:inLanguage en
29 schema:isAccessibleForFree false
30 schema:isPartOf N4a1500ac163d48ddaa02ac6abaa6b7ff
31 Nefe5ca6da33f4ae4be0ab0e8f674894d
32 sg:journal.1043392
33 schema:name Differentiating random upper semicontinuous functions under the integral sign
34 schema:pagination 241-258
35 schema:productId N1663ac00202a4d339ad2fc02aa8982d4
36 N29cdaf33c3f74fb2bb436f21174a5873
37 N63b980b500714d059fd795a22cf01319
38 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009177315
39 https://doi.org/10.1007/bf02595821
40 schema:sdDatePublished 2019-04-11T12:56
41 schema:sdLicense https://scigraph.springernature.com/explorer/license/
42 schema:sdPublisher Nd27dac851be741f699b9e3f19af19007
43 schema:url http://link.springer.com/10.1007%2FBF02595821
44 sgo:license sg:explorer/license/
45 sgo:sdDataset articles
46 rdf:type schema:ScholarlyArticle
47 N1663ac00202a4d339ad2fc02aa8982d4 schema:name dimensions_id
48 schema:value pub.1009177315
49 rdf:type schema:PropertyValue
50 N29cdaf33c3f74fb2bb436f21174a5873 schema:name readcube_id
51 schema:value 2bb852eda441aacfd02f87b33d4b8aa905d0ca575770e1a9a772508a36c3478c
52 rdf:type schema:PropertyValue
53 N4a1500ac163d48ddaa02ac6abaa6b7ff schema:issueNumber 1
54 rdf:type schema:PublicationIssue
55 N506a9b8fcc124302a809b65ea87f94d7 rdf:first sg:person.011473542121.33
56 rdf:rest Nb999b8949beb4fb1a85eb816c99ee4bf
57 N63b980b500714d059fd795a22cf01319 schema:name doi
58 schema:value 10.1007/bf02595821
59 rdf:type schema:PropertyValue
60 Nb999b8949beb4fb1a85eb816c99ee4bf rdf:first sg:person.013420443231.50
61 rdf:rest rdf:nil
62 Nd27dac851be741f699b9e3f19af19007 schema:name Springer Nature - SN SciGraph project
63 rdf:type schema:Organization
64 Ne3bd4d5f2c9344d3bd614725393ec313 rdf:first sg:person.010256741453.82
65 rdf:rest N506a9b8fcc124302a809b65ea87f94d7
66 Nefe5ca6da33f4ae4be0ab0e8f674894d schema:volumeNumber 12
67 rdf:type schema:PublicationVolume
68 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
69 schema:name Mathematical Sciences
70 rdf:type schema:DefinedTerm
71 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
72 schema:name Pure Mathematics
73 rdf:type schema:DefinedTerm
74 sg:journal.1043392 schema:issn 1133-0686
75 1863-8260
76 schema:name TEST
77 rdf:type schema:Periodical
78 sg:person.010256741453.82 schema:affiliation https://www.grid.ac/institutes/grid.10863.3c
79 schema:familyName Rodríguez-Muñiz
80 schema:givenName Luis J.
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010256741453.82
82 rdf:type schema:Person
83 sg:person.011473542121.33 schema:affiliation https://www.grid.ac/institutes/grid.10863.3c
84 schema:familyName López-Díaz
85 schema:givenName Miguel
86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011473542121.33
87 rdf:type schema:Person
88 sg:person.013420443231.50 schema:affiliation https://www.grid.ac/institutes/grid.10863.3c
89 schema:familyName Ángeles Gil
90 schema:givenName M.
91 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013420443231.50
92 rdf:type schema:Person
93 https://doi.org/10.1016/0022-247x(65)90049-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035033125
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1016/0022-247x(70)90078-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041144679
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1016/0022-247x(83)90169-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006858748
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1016/0022-247x(86)90093-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043810381
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1016/0047-259x(77)90037-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006935561
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/0165-0114(87)90120-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046665474
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/0165-0114(90)90010-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026331413
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/s0165-0114(82)80001-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037547238
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1016/s0165-0114(97)00120-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031974336
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1016/s0378-3758(98)00100-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041120332
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1080/00029890.1973.11993339 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103215762
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1098/rspa.1986.0091 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037952295
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1109/3468.725356 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061157644
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1137/0327070 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062844169
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1142/2326 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098876230
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1214/aop/1176992822 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064404500
124 rdf:type schema:CreativeWork
125 https://doi.org/10.1512/iumj.1969.18.18006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067510996
126 rdf:type schema:CreativeWork
127 https://doi.org/10.2140/pjm.1976.66.67 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069066828
128 rdf:type schema:CreativeWork
129 https://doi.org/10.2307/2032477 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069705609
130 rdf:type schema:CreativeWork
131 https://doi.org/10.2307/2319163 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069885473
132 rdf:type schema:CreativeWork
133 https://www.grid.ac/institutes/grid.10863.3c schema:alternateName University of Oviedo
134 schema:name Departamento de Estadística e Investigación Operativa, Universidad de Oviedo, Spain
135 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...