Topological properties of some sequences defined over 2-normed spaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-11-14

AUTHORS

Hemen Dutta, Adem Kilicman, Omer Altun

ABSTRACT

The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research. More... »

PAGES

1974

References to SciGraph publications

  • 1971-09. On orlicz sequence spaces in ISRAEL JOURNAL OF MATHEMATICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s40064-016-3646-7

    DOI

    http://dx.doi.org/10.1186/s40064-016-3646-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1033625475

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/27900239


    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, Gauhati University, 781014, Guwahati, India", 
              "id": "http://www.grid.ac/institutes/grid.411779.d", 
              "name": [
                "Department of Mathematics, Gauhati University, 781014, Guwahati, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Dutta", 
            "givenName": "Hemen", 
            "id": "sg:person.014453312601.78", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014453312601.78"
            ], 
            "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": "Kilicman", 
            "givenName": "Adem", 
            "id": "sg:person.014231676063.05", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014231676063.05"
            ], 
            "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": "Altun", 
            "givenName": "Omer", 
            "id": "sg:person.016046253601.26", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016046253601.26"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf02771656", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004057852", 
              "https://doi.org/10.1007/bf02771656"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-11-14", 
        "datePublishedReg": "2016-11-14", 
        "description": "The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research.", 
        "genre": "article", 
        "id": "sg:pub.10.1186/s40064-016-3646-7", 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1047790", 
            "issn": [
              "2193-1801"
            ], 
            "name": "SpringerPlus", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "5"
          }
        ], 
        "keywords": [
          "such classes", 
          "real number sequences", 
          "positive real numbers", 
          "topological properties", 
          "Orlicz function", 
          "real numbers", 
          "number sequences", 
          "sequence space", 
          "useful properties", 
          "space", 
          "relevant properties", 
          "class", 
          "interesting fact", 
          "properties", 
          "conclusion section", 
          "parameters", 
          "function", 
          "sequence", 
          "number", 
          "means", 
          "conditions", 
          "fact", 
          "sections", 
          "research", 
          "relationship", 
          "further research", 
          "paper"
        ], 
        "name": "Topological properties of some sequences defined over 2-normed spaces", 
        "pagination": "1974", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1033625475"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1186/s40064-016-3646-7"
            ]
          }, 
          {
            "name": "pubmed_id", 
            "type": "PropertyValue", 
            "value": [
              "27900239"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1186/s40064-016-3646-7", 
          "https://app.dimensions.ai/details/publication/pub.1033625475"
        ], 
        "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_682.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1186/s40064-016-3646-7"
      }
    ]
     

    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/s40064-016-3646-7'

    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/s40064-016-3646-7'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/s40064-016-3646-7'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/s40064-016-3646-7'


     

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

    108 TRIPLES      21 PREDICATES      53 URIs      44 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1186/s40064-016-3646-7 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N3805cfac27f14aa493617f04db05eb76
    4 schema:citation sg:pub.10.1007/bf02771656
    5 schema:datePublished 2016-11-14
    6 schema:datePublishedReg 2016-11-14
    7 schema:description The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research.
    8 schema:genre article
    9 schema:isAccessibleForFree true
    10 schema:isPartOf N4b8fd7e70cc543a7a06089ab0386c4b6
    11 N96be6c738b0840448477ffdb2129b68d
    12 sg:journal.1047790
    13 schema:keywords Orlicz function
    14 class
    15 conclusion section
    16 conditions
    17 fact
    18 function
    19 further research
    20 interesting fact
    21 means
    22 number
    23 number sequences
    24 paper
    25 parameters
    26 positive real numbers
    27 properties
    28 real number sequences
    29 real numbers
    30 relationship
    31 relevant properties
    32 research
    33 sections
    34 sequence
    35 sequence space
    36 space
    37 such classes
    38 topological properties
    39 useful properties
    40 schema:name Topological properties of some sequences defined over 2-normed spaces
    41 schema:pagination 1974
    42 schema:productId N7fea4640054640ceab6cf684fe4dfd71
    43 N924016aac53e4a31a5c75ee25f2cac91
    44 Ndc4cf86306ed477d9920db4150ddf992
    45 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033625475
    46 https://doi.org/10.1186/s40064-016-3646-7
    47 schema:sdDatePublished 2022-12-01T06:33
    48 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    49 schema:sdPublisher Na89207032cee4a0f82d7bc4797bf87ee
    50 schema:url https://doi.org/10.1186/s40064-016-3646-7
    51 sgo:license sg:explorer/license/
    52 sgo:sdDataset articles
    53 rdf:type schema:ScholarlyArticle
    54 N3805cfac27f14aa493617f04db05eb76 rdf:first sg:person.014453312601.78
    55 rdf:rest Nf6acaf28d1144f6f9d0e55c64cd17372
    56 N4b8fd7e70cc543a7a06089ab0386c4b6 schema:volumeNumber 5
    57 rdf:type schema:PublicationVolume
    58 N7fea4640054640ceab6cf684fe4dfd71 schema:name doi
    59 schema:value 10.1186/s40064-016-3646-7
    60 rdf:type schema:PropertyValue
    61 N924016aac53e4a31a5c75ee25f2cac91 schema:name pubmed_id
    62 schema:value 27900239
    63 rdf:type schema:PropertyValue
    64 N96be6c738b0840448477ffdb2129b68d schema:issueNumber 1
    65 rdf:type schema:PublicationIssue
    66 N9999b279e75c4fa590d0f36520d2d5c7 rdf:first sg:person.016046253601.26
    67 rdf:rest rdf:nil
    68 Na89207032cee4a0f82d7bc4797bf87ee schema:name Springer Nature - SN SciGraph project
    69 rdf:type schema:Organization
    70 Ndc4cf86306ed477d9920db4150ddf992 schema:name dimensions_id
    71 schema:value pub.1033625475
    72 rdf:type schema:PropertyValue
    73 Nf6acaf28d1144f6f9d0e55c64cd17372 rdf:first sg:person.014231676063.05
    74 rdf:rest N9999b279e75c4fa590d0f36520d2d5c7
    75 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    76 schema:name Mathematical Sciences
    77 rdf:type schema:DefinedTerm
    78 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    79 schema:name Pure Mathematics
    80 rdf:type schema:DefinedTerm
    81 sg:journal.1047790 schema:issn 2193-1801
    82 schema:name SpringerPlus
    83 schema:publisher Springer Nature
    84 rdf:type schema:Periodical
    85 sg:person.014231676063.05 schema:affiliation grid-institutes:grid.11142.37
    86 schema:familyName Kilicman
    87 schema:givenName Adem
    88 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014231676063.05
    89 rdf:type schema:Person
    90 sg:person.014453312601.78 schema:affiliation grid-institutes:grid.411779.d
    91 schema:familyName Dutta
    92 schema:givenName Hemen
    93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014453312601.78
    94 rdf:type schema:Person
    95 sg:person.016046253601.26 schema:affiliation grid-institutes:grid.11142.37
    96 schema:familyName Altun
    97 schema:givenName Omer
    98 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016046253601.26
    99 rdf:type schema:Person
    100 sg:pub.10.1007/bf02771656 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004057852
    101 https://doi.org/10.1007/bf02771656
    102 rdf:type schema:CreativeWork
    103 grid-institutes:grid.11142.37 schema:alternateName Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia
    104 schema:name Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia
    105 rdf:type schema:Organization
    106 grid-institutes:grid.411779.d schema:alternateName Department of Mathematics, Gauhati University, 781014, Guwahati, India
    107 schema:name Department of Mathematics, Gauhati University, 781014, Guwahati, India
    108 rdf:type schema:Organization
     




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


    ...