On certain generalized paranormed spaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-02-03

AUTHORS

Kuldip Raj, Adem Kılıçman

ABSTRACT

In the present paper we introduce and study some generalized paranormed sequence spaces defined by Musielak-Orlicz functions as well as by a sequence of modulus functions. We also study some topological properties and prove some inclusion relations between these spaces.

PAGES

37

References to SciGraph publications

  • 2006-01. On statistical convergence of vector-valued sequences associated with multiplier sequences in UKRAINIAN MATHEMATICAL JOURNAL
  • 1983. Orlicz Spaces and Modular Spaces in NONE
  • 1971-09. On orlicz sequence spaces in ISRAEL JOURNAL OF MATHEMATICS
  • 2013-07-03. A new variant of statistical convergence in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13660-015-0565-z

    DOI

    http://dx.doi.org/10.1186/s13660-015-0565-z

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1048258803


    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": "School of Mathematics, Shri Mata Vaishno Devi University, 182320, Katra, Jammu and Kashmir, India", 
              "id": "http://www.grid.ac/institutes/grid.440710.6", 
              "name": [
                "School of Mathematics, Shri Mata Vaishno Devi University, 182320, Katra, Jammu and Kashmir, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Raj", 
            "givenName": "Kuldip", 
            "id": "sg:person.010225026273.60", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010225026273.60"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia", 
              "id": "http://www.grid.ac/institutes/grid.11142.37", 
              "name": [
                "Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "K\u0131l\u0131\u00e7man", 
            "givenName": "Adem", 
            "id": "sg:person.014231676063.05", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014231676063.05"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bfb0072210", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018331833", 
              "https://doi.org/10.1007/bfb0072210"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11253-006-0056-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050236438", 
              "https://doi.org/10.1007/s11253-006-0056-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1186/1029-242x-2013-309", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004759285", 
              "https://doi.org/10.1186/1029-242x-2013-309"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02771656", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004057852", 
              "https://doi.org/10.1007/bf02771656"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2015-02-03", 
        "datePublishedReg": "2015-02-03", 
        "description": "In the present paper we introduce and study some generalized paranormed sequence spaces defined by Musielak-Orlicz functions as well as by a sequence of modulus functions. We also study some topological properties and prove some inclusion relations between these spaces.", 
        "genre": "article", 
        "id": "sg:pub.10.1186/s13660-015-0565-z", 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1136856", 
            "issn": [
              "1025-5834", 
              "1029-242X"
            ], 
            "name": "Journal of Inequalities and Applications", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2015"
          }
        ], 
        "keywords": [
          "Musielak-Orlicz function", 
          "paranormed spaces", 
          "topological properties", 
          "inclusion relations", 
          "sequence space", 
          "modulus function", 
          "space", 
          "present paper", 
          "function", 
          "properties", 
          "relation", 
          "sequence", 
          "paper"
        ], 
        "name": "On certain generalized paranormed spaces", 
        "pagination": "37", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1048258803"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1186/s13660-015-0565-z"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1186/s13660-015-0565-z", 
          "https://app.dimensions.ai/details/publication/pub.1048258803"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-12-01T06:33", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20221201/entities/gbq_results/article/article_654.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1186/s13660-015-0565-z"
      }
    ]
     

    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/s13660-015-0565-z'

    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/s13660-015-0565-z'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s13660-015-0565-z'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s13660-015-0565-z'


     

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

    96 TRIPLES      21 PREDICATES      41 URIs      29 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1186/s13660-015-0565-z schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N23461900d7f445a6b7e7c1be3809906b
    4 schema:citation sg:pub.10.1007/bf02771656
    5 sg:pub.10.1007/bfb0072210
    6 sg:pub.10.1007/s11253-006-0056-y
    7 sg:pub.10.1186/1029-242x-2013-309
    8 schema:datePublished 2015-02-03
    9 schema:datePublishedReg 2015-02-03
    10 schema:description In the present paper we introduce and study some generalized paranormed sequence spaces defined by Musielak-Orlicz functions as well as by a sequence of modulus functions. We also study some topological properties and prove some inclusion relations between these spaces.
    11 schema:genre article
    12 schema:isAccessibleForFree true
    13 schema:isPartOf N11be66009b8c4886abbc045ca5ab8bea
    14 Na50204cafad1494b8ddceae082cc4b01
    15 sg:journal.1136856
    16 schema:keywords Musielak-Orlicz function
    17 function
    18 inclusion relations
    19 modulus function
    20 paper
    21 paranormed spaces
    22 present paper
    23 properties
    24 relation
    25 sequence
    26 sequence space
    27 space
    28 topological properties
    29 schema:name On certain generalized paranormed spaces
    30 schema:pagination 37
    31 schema:productId N535d349cb85e4ec08101aad32c217335
    32 N82b585becc4a4520ae6a0285b8b6ae10
    33 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048258803
    34 https://doi.org/10.1186/s13660-015-0565-z
    35 schema:sdDatePublished 2022-12-01T06:33
    36 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    37 schema:sdPublisher N2d85f42d52f34f3484d4c67495641874
    38 schema:url https://doi.org/10.1186/s13660-015-0565-z
    39 sgo:license sg:explorer/license/
    40 sgo:sdDataset articles
    41 rdf:type schema:ScholarlyArticle
    42 N11be66009b8c4886abbc045ca5ab8bea schema:volumeNumber 2015
    43 rdf:type schema:PublicationVolume
    44 N23461900d7f445a6b7e7c1be3809906b rdf:first sg:person.010225026273.60
    45 rdf:rest Nf6805066f8ba4df59356a64942171db0
    46 N2d85f42d52f34f3484d4c67495641874 schema:name Springer Nature - SN SciGraph project
    47 rdf:type schema:Organization
    48 N535d349cb85e4ec08101aad32c217335 schema:name dimensions_id
    49 schema:value pub.1048258803
    50 rdf:type schema:PropertyValue
    51 N82b585becc4a4520ae6a0285b8b6ae10 schema:name doi
    52 schema:value 10.1186/s13660-015-0565-z
    53 rdf:type schema:PropertyValue
    54 Na50204cafad1494b8ddceae082cc4b01 schema:issueNumber 1
    55 rdf:type schema:PublicationIssue
    56 Nf6805066f8ba4df59356a64942171db0 rdf:first sg:person.014231676063.05
    57 rdf:rest rdf:nil
    58 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    59 schema:name Mathematical Sciences
    60 rdf:type schema:DefinedTerm
    61 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    62 schema:name Pure Mathematics
    63 rdf:type schema:DefinedTerm
    64 sg:journal.1136856 schema:issn 1025-5834
    65 1029-242X
    66 schema:name Journal of Inequalities and Applications
    67 schema:publisher Springer Nature
    68 rdf:type schema:Periodical
    69 sg:person.010225026273.60 schema:affiliation grid-institutes:grid.440710.6
    70 schema:familyName Raj
    71 schema:givenName Kuldip
    72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010225026273.60
    73 rdf:type schema:Person
    74 sg:person.014231676063.05 schema:affiliation grid-institutes:grid.11142.37
    75 schema:familyName Kılıçman
    76 schema:givenName Adem
    77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014231676063.05
    78 rdf:type schema:Person
    79 sg:pub.10.1007/bf02771656 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004057852
    80 https://doi.org/10.1007/bf02771656
    81 rdf:type schema:CreativeWork
    82 sg:pub.10.1007/bfb0072210 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018331833
    83 https://doi.org/10.1007/bfb0072210
    84 rdf:type schema:CreativeWork
    85 sg:pub.10.1007/s11253-006-0056-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1050236438
    86 https://doi.org/10.1007/s11253-006-0056-y
    87 rdf:type schema:CreativeWork
    88 sg:pub.10.1186/1029-242x-2013-309 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004759285
    89 https://doi.org/10.1186/1029-242x-2013-309
    90 rdf:type schema:CreativeWork
    91 grid-institutes:grid.11142.37 schema:alternateName Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia
    92 schema:name Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia
    93 rdf:type schema:Organization
    94 grid-institutes:grid.440710.6 schema:alternateName School of Mathematics, Shri Mata Vaishno Devi University, 182320, Katra, Jammu and Kashmir, India
    95 schema:name School of Mathematics, Shri Mata Vaishno Devi University, 182320, Katra, Jammu and Kashmir, India
    96 rdf:type schema:Organization
     




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


    ...