The Valleé-Poussin Means for Special Series With Respect to Ultraspherical Jacobi Polynomials With Sticking Partial Sums View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-09

AUTHORS

I. I. Sharapudinov, M. G. Magomed-Kasumov

ABSTRACT

The authors continue study of special series with sticking property (r-fold coincidence at points ± 1) in ultraspherical Jacobi polynomials, that was started in the previous works of the first author. In the present paper they are dealing with an approximative properties of Valleé-Poussin means for partial sums of the mentioned special series. It is shown that for function f with certain smoothness properties at the ends of interval [−1, 1] the rate of weighted approximation by Valleé- Poussin means has the same order as the best weighted approximation of f. More... »

PAGES

60-71

Identifiers

URI

http://scigraph.springernature.com/pub.10.3103/s1066369x18090074

DOI

http://dx.doi.org/10.3103/s1066369x18090074

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1106724752


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/2008/1103", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Clinical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Medical and Health Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Vladikavkaz Scientific Center, Russian Academy of Sciences Daghestan Scientific Center, Russian Academy of Sciences, ul. M. Gadzhieva 45, 367000, Makhachkala, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sharapudinov", 
        "givenName": "I. I.", 
        "id": "sg:person.014523447276.26", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014523447276.26"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Russian Academy of Sciences", 
          "id": "https://www.grid.ac/institutes/grid.4886.2", 
          "name": [
            "Vladikavkaz Scientific Center, Russian Academy of Sciences Daghestan Scientific Center, Russian Academy of Sciences, ul. M. Gadzhieva 45, 367000, Makhachkala, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Magomed-Kasumov", 
        "givenName": "M. G.", 
        "id": "sg:person.015445453046.47", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015445453046.47"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1134/s0001434608090125", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051304482", 
          "https://doi.org/10.1134/s0001434608090125"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018-09", 
    "datePublishedReg": "2018-09-01", 
    "description": "The authors continue study of special series with sticking property (r-fold coincidence at points \u00b1 1) in ultraspherical Jacobi polynomials, that was started in the previous works of the first author. In the present paper they are dealing with an approximative properties of Valle\u00e9-Poussin means for partial sums of the mentioned special series. It is shown that for function f with certain smoothness properties at the ends of interval [\u22121, 1] the rate of weighted approximation by Valle\u00e9- Poussin means has the same order as the best weighted approximation of f.", 
    "genre": "research_article", 
    "id": "sg:pub.10.3103/s1066369x18090074", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1295492", 
        "issn": [
          "0021-3446", 
          "1934-810X"
        ], 
        "name": "Russian Mathematics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "9", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "62"
      }
    ], 
    "name": "The Valle\u00e9-Poussin Means for Special Series With Respect to Ultraspherical Jacobi Polynomials With Sticking Partial Sums", 
    "pagination": "60-71", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "2c596d6c8ebcafa5d8b7e478231217507bef63ab7589f25055a85856e51c4aae"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.3103/s1066369x18090074"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1106724752"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.3103/s1066369x18090074", 
      "https://app.dimensions.ai/details/publication/pub.1106724752"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T23:23", 
    "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/v90/0000000001_0000000264/records_8693_00000509.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.3103%2FS1066369X18090074"
  }
]
 

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.10.3103/s1066369x18090074'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.3103/s1066369x18090074'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.3103/s1066369x18090074'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.3103/s1066369x18090074'


 

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

72 TRIPLES      21 PREDICATES      28 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.3103/s1066369x18090074 schema:about anzsrc-for:11
2 anzsrc-for:1103
3 schema:author Nc45549f7884a49f3a0634cae406955ae
4 schema:citation sg:pub.10.1134/s0001434608090125
5 schema:datePublished 2018-09
6 schema:datePublishedReg 2018-09-01
7 schema:description The authors continue study of special series with sticking property (r-fold coincidence at points ± 1) in ultraspherical Jacobi polynomials, that was started in the previous works of the first author. In the present paper they are dealing with an approximative properties of Valleé-Poussin means for partial sums of the mentioned special series. It is shown that for function f with certain smoothness properties at the ends of interval [−1, 1] the rate of weighted approximation by Valleé- Poussin means has the same order as the best weighted approximation of f.
8 schema:genre research_article
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N07907feacebe410b9f45784e001bcf01
12 Ncae66cc5153c478d8d70e8cf35d7d609
13 sg:journal.1295492
14 schema:name The Valleé-Poussin Means for Special Series With Respect to Ultraspherical Jacobi Polynomials With Sticking Partial Sums
15 schema:pagination 60-71
16 schema:productId N11c59728b0914da5960cc57d05e4fa5b
17 N82d6bb0765c2459794330213201432c5
18 Na5b67aa218404d318da07f32b634abb8
19 schema:sameAs https://app.dimensions.ai/details/publication/pub.1106724752
20 https://doi.org/10.3103/s1066369x18090074
21 schema:sdDatePublished 2019-04-10T23:23
22 schema:sdLicense https://scigraph.springernature.com/explorer/license/
23 schema:sdPublisher Ncbc10ec0e3664a88b8869d2a9fae4a53
24 schema:url http://link.springer.com/10.3103%2FS1066369X18090074
25 sgo:license sg:explorer/license/
26 sgo:sdDataset articles
27 rdf:type schema:ScholarlyArticle
28 N07907feacebe410b9f45784e001bcf01 schema:issueNumber 9
29 rdf:type schema:PublicationIssue
30 N11c59728b0914da5960cc57d05e4fa5b schema:name readcube_id
31 schema:value 2c596d6c8ebcafa5d8b7e478231217507bef63ab7589f25055a85856e51c4aae
32 rdf:type schema:PropertyValue
33 N82d6bb0765c2459794330213201432c5 schema:name dimensions_id
34 schema:value pub.1106724752
35 rdf:type schema:PropertyValue
36 N9c596238f24942008c49df184229ca52 rdf:first sg:person.015445453046.47
37 rdf:rest rdf:nil
38 Na5b67aa218404d318da07f32b634abb8 schema:name doi
39 schema:value 10.3103/s1066369x18090074
40 rdf:type schema:PropertyValue
41 Nc45549f7884a49f3a0634cae406955ae rdf:first sg:person.014523447276.26
42 rdf:rest N9c596238f24942008c49df184229ca52
43 Ncae66cc5153c478d8d70e8cf35d7d609 schema:volumeNumber 62
44 rdf:type schema:PublicationVolume
45 Ncbc10ec0e3664a88b8869d2a9fae4a53 schema:name Springer Nature - SN SciGraph project
46 rdf:type schema:Organization
47 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
48 schema:name Medical and Health Sciences
49 rdf:type schema:DefinedTerm
50 anzsrc-for:1103 schema:inDefinedTermSet anzsrc-for:
51 schema:name Clinical Sciences
52 rdf:type schema:DefinedTerm
53 sg:journal.1295492 schema:issn 0021-3446
54 1934-810X
55 schema:name Russian Mathematics
56 rdf:type schema:Periodical
57 sg:person.014523447276.26 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
58 schema:familyName Sharapudinov
59 schema:givenName I. I.
60 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014523447276.26
61 rdf:type schema:Person
62 sg:person.015445453046.47 schema:affiliation https://www.grid.ac/institutes/grid.4886.2
63 schema:familyName Magomed-Kasumov
64 schema:givenName M. G.
65 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015445453046.47
66 rdf:type schema:Person
67 sg:pub.10.1134/s0001434608090125 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051304482
68 https://doi.org/10.1134/s0001434608090125
69 rdf:type schema:CreativeWork
70 https://www.grid.ac/institutes/grid.4886.2 schema:alternateName Russian Academy of Sciences
71 schema:name Vladikavkaz Scientific Center, Russian Academy of Sciences Daghestan Scientific Center, Russian Academy of Sciences, ul. M. Gadzhieva 45, 367000, Makhachkala, Russia
72 rdf:type schema:Organization
 




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


...