Bivariate Montgomery identity for alpha diamond integrals View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-08-02

AUTHORS

Masud Ahmad, Khalid Mahmood Awan, Shehzad Hameed, Khuram Ali Khan, Ammara Nosheen

ABSTRACT

In the paper, some variants of Montgomery identity with the help of delta and nabla integrals are established which are useful to produce Montgomery identity involving alpha diamond integrals for function of two variables. The aforementioned identity is discussed in discrete, continuous, quantum calculus as well and employed to obtain Ostrowski type inequality for monotonically increasing function with respect to both parameters. More... »

PAGES

314

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13662-019-2254-6

DOI

http://dx.doi.org/10.1186/s13662-019-2254-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1120101321


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.440564.7", 
          "name": [
            "Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ahmad", 
        "givenName": "Masud", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Sargodha, Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.412782.a", 
          "name": [
            "Department of Mathematics, University of Sargodha, Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Awan", 
        "givenName": "Khalid Mahmood", 
        "id": "sg:person.011722434507.10", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011722434507.10"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.440564.7", 
          "name": [
            "Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hameed", 
        "givenName": "Shehzad", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Sargodha, Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.412782.a", 
          "name": [
            "Department of Mathematics, University of Sargodha, Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Khan", 
        "givenName": "Khuram Ali", 
        "id": "sg:person.0777764066.16", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0777764066.16"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.440564.7", 
          "name": [
            "Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Nosheen", 
        "givenName": "Ammara", 
        "id": "sg:person.014360410723.68", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014360410723.68"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/978-0-8176-8230-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022884703", 
          "https://doi.org/10.1007/978-0-8176-8230-9"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-0201-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004231602", 
          "https://doi.org/10.1007/978-1-4612-0201-1"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-08-02", 
    "datePublishedReg": "2019-08-02", 
    "description": "In the paper, some variants of Montgomery identity with the help of delta and nabla integrals are established which are useful to produce Montgomery identity involving alpha diamond integrals for function of two variables. The aforementioned identity is discussed in discrete, continuous, quantum calculus as well and employed to obtain Ostrowski type inequality for monotonically increasing function with respect to both parameters.", 
    "genre": "article", 
    "id": "sg:pub.10.1186/s13662-019-2254-6", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1052613", 
        "issn": [
          "1687-1839", 
          "1687-1847"
        ], 
        "name": "Advances in Difference Equations", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2019"
      }
    ], 
    "keywords": [
      "help", 
      "integrals", 
      "function", 
      "quantum calculus", 
      "respect", 
      "parameters", 
      "paper", 
      "variants", 
      "Montgomery identity", 
      "identity", 
      "help of delta", 
      "delta", 
      "nabla integrals", 
      "alpha diamond integrals", 
      "diamond integrals", 
      "variables", 
      "aforementioned identity", 
      "calculus", 
      "Ostrowski type inequalities", 
      "type inequalities", 
      "inequality", 
      "Bivariate Montgomery identity"
    ], 
    "name": "Bivariate Montgomery identity for alpha diamond integrals", 
    "pagination": "314", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1120101321"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1186/s13662-019-2254-6"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1186/s13662-019-2254-6", 
      "https://app.dimensions.ai/details/publication/pub.1120101321"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-01-01T18:55", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_830.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1186/s13662-019-2254-6"
  }
]
 

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.10.1186/s13662-019-2254-6'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2254-6'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2254-6'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13662-019-2254-6'


 

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

117 TRIPLES      22 PREDICATES      49 URIs      39 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1186/s13662-019-2254-6 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N29363186c970416e8df75d6a6bf32a57
4 schema:citation sg:pub.10.1007/978-0-8176-8230-9
5 sg:pub.10.1007/978-1-4612-0201-1
6 schema:datePublished 2019-08-02
7 schema:datePublishedReg 2019-08-02
8 schema:description In the paper, some variants of Montgomery identity with the help of delta and nabla integrals are established which are useful to produce Montgomery identity involving alpha diamond integrals for function of two variables. The aforementioned identity is discussed in discrete, continuous, quantum calculus as well and employed to obtain Ostrowski type inequality for monotonically increasing function with respect to both parameters.
9 schema:genre article
10 schema:inLanguage en
11 schema:isAccessibleForFree true
12 schema:isPartOf N0780eb5b9fd74ac0a30afb3d007660a8
13 N5dadaaa3375b439ca22dd99ef0a97730
14 sg:journal.1052613
15 schema:keywords Bivariate Montgomery identity
16 Montgomery identity
17 Ostrowski type inequalities
18 aforementioned identity
19 alpha diamond integrals
20 calculus
21 delta
22 diamond integrals
23 function
24 help
25 help of delta
26 identity
27 inequality
28 integrals
29 nabla integrals
30 paper
31 parameters
32 quantum calculus
33 respect
34 type inequalities
35 variables
36 variants
37 schema:name Bivariate Montgomery identity for alpha diamond integrals
38 schema:pagination 314
39 schema:productId N437c851611324527963ec9ddb4674df0
40 N6ec777aa46694a00950b9b15e7300c05
41 schema:sameAs https://app.dimensions.ai/details/publication/pub.1120101321
42 https://doi.org/10.1186/s13662-019-2254-6
43 schema:sdDatePublished 2022-01-01T18:55
44 schema:sdLicense https://scigraph.springernature.com/explorer/license/
45 schema:sdPublisher Ncfd125b401494ae4a42785ed7c10d032
46 schema:url https://doi.org/10.1186/s13662-019-2254-6
47 sgo:license sg:explorer/license/
48 sgo:sdDataset articles
49 rdf:type schema:ScholarlyArticle
50 N0780eb5b9fd74ac0a30afb3d007660a8 schema:issueNumber 1
51 rdf:type schema:PublicationIssue
52 N161f9d7e5452425a8750deae05a18ae5 rdf:first sg:person.014360410723.68
53 rdf:rest rdf:nil
54 N1caf253ad5c64751b72c6b725bcaeb0d rdf:first sg:person.011722434507.10
55 rdf:rest Nb741a82de0924616941db85e9b0bd4d5
56 N29363186c970416e8df75d6a6bf32a57 rdf:first Nb95389fecc944a99a8469477376b9121
57 rdf:rest N1caf253ad5c64751b72c6b725bcaeb0d
58 N437c851611324527963ec9ddb4674df0 schema:name doi
59 schema:value 10.1186/s13662-019-2254-6
60 rdf:type schema:PropertyValue
61 N4e23a85c629f461690d2ddb7110a77f0 rdf:first sg:person.0777764066.16
62 rdf:rest N161f9d7e5452425a8750deae05a18ae5
63 N5dadaaa3375b439ca22dd99ef0a97730 schema:volumeNumber 2019
64 rdf:type schema:PublicationVolume
65 N6ec777aa46694a00950b9b15e7300c05 schema:name dimensions_id
66 schema:value pub.1120101321
67 rdf:type schema:PropertyValue
68 N8947067bf14a412c9a235fef4c9cde75 schema:affiliation grid-institutes:grid.440564.7
69 schema:familyName Hameed
70 schema:givenName Shehzad
71 rdf:type schema:Person
72 Nb741a82de0924616941db85e9b0bd4d5 rdf:first N8947067bf14a412c9a235fef4c9cde75
73 rdf:rest N4e23a85c629f461690d2ddb7110a77f0
74 Nb95389fecc944a99a8469477376b9121 schema:affiliation grid-institutes:grid.440564.7
75 schema:familyName Ahmad
76 schema:givenName Masud
77 rdf:type schema:Person
78 Ncfd125b401494ae4a42785ed7c10d032 schema:name Springer Nature - SN SciGraph project
79 rdf:type schema:Organization
80 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
81 schema:name Mathematical Sciences
82 rdf:type schema:DefinedTerm
83 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
84 schema:name Pure Mathematics
85 rdf:type schema:DefinedTerm
86 sg:journal.1052613 schema:issn 1687-1839
87 1687-1847
88 schema:name Advances in Difference Equations
89 schema:publisher Springer Nature
90 rdf:type schema:Periodical
91 sg:person.011722434507.10 schema:affiliation grid-institutes:grid.412782.a
92 schema:familyName Awan
93 schema:givenName Khalid Mahmood
94 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011722434507.10
95 rdf:type schema:Person
96 sg:person.014360410723.68 schema:affiliation grid-institutes:grid.440564.7
97 schema:familyName Nosheen
98 schema:givenName Ammara
99 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014360410723.68
100 rdf:type schema:Person
101 sg:person.0777764066.16 schema:affiliation grid-institutes:grid.412782.a
102 schema:familyName Khan
103 schema:givenName Khuram Ali
104 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0777764066.16
105 rdf:type schema:Person
106 sg:pub.10.1007/978-0-8176-8230-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022884703
107 https://doi.org/10.1007/978-0-8176-8230-9
108 rdf:type schema:CreativeWork
109 sg:pub.10.1007/978-1-4612-0201-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004231602
110 https://doi.org/10.1007/978-1-4612-0201-1
111 rdf:type schema:CreativeWork
112 grid-institutes:grid.412782.a schema:alternateName Department of Mathematics, University of Sargodha, Sargodha, Pakistan
113 schema:name Department of Mathematics, University of Sargodha, Sargodha, Pakistan
114 rdf:type schema:Organization
115 grid-institutes:grid.440564.7 schema:alternateName Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan
116 schema:name Department of Mathematics, University of Lahore (Sargodha Campus), Sargodha, Pakistan
117 rdf:type schema:Organization
 




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


...