Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "2122"
  #_source: array:26 [
    "id" => "2122"
    "slug" => "on-functions-bounded-by-karamata-functions"
    "yearMonth" => "2019-03"
    "year" => "2019"
    "title" => "On functions bounded by Karamata functions"
    "description" => "CADENA, M., KRATZ, M. et OMEY, E. (2019). On functions bounded by Karamata functions. <i>Journal of Mathematical Sciences</i>, 237(5), pp. 621-630."
    "authors" => array:3 [
      0 => array:3 [
        "name" => "KRATZ Marie"
        "bid" => "B00072305"
        "slug" => "kratz-marie"
      ]
      1 => array:1 [
        "name" => "CADENA M."
      ]
      2 => array:1 [
        "name" => "OMEY E."
      ]
    ]
    "ouvrage" => ""
    "keywords" => []
    "updatedAt" => "2023-05-24 16:21:49"
    "publicationUrl" => "https://link.springer.com/article/10.1007/s10958-019-04187-z"
    "publicationInfo" => array:3 [
      "pages" => "621-630"
      "volume" => "237"
      "number" => "5"
    ]
    "type" => array:2 [
      "fr" => "Articles"
      "en" => "Journal articles"
    ]
    "support_type" => array:2 [
      "fr" => "Revue scientifique"
      "en" => "Scientific journal"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "We define a new class of positive and measurable functions that are bounded by regularly varying functions (which were introduced by Karamata). We study integrals and Laplace transforms of these functions. We use the obtained results to study the tail of convolutions of distribution functions. The results are extended to functions that are bounded by O-regularly varying functions."
      "en" => "We define a new class of positive and measurable functions that are bounded by regularly varying functions (which were introduced by Karamata). We study integrals and Laplace transforms of these functions. We use the obtained results to study the tail of convolutions of distribution functions. The results are extended to functions that are bounded by O-regularly varying functions."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-11-23T07:21:43.000Z"
    "docTitle" => "On functions bounded by Karamata functions"
    "docSurtitle" => "Journal articles"
    "authorNames" => "<a href="/cv/kratz-marie">KRATZ Marie</a>, CADENA M., OMEY E."
    "docDescription" => "<span class="document-property-authors">KRATZ Marie, CADENA M., OMEY E.</span><br><span class="document-property-authors_fields">Information Systems, Data Analytics and Operations</span> | <span class="document-property-year">2019</span>"
    "keywordList" => ""
    "docPreview" => "<b>On functions bounded by Karamata functions</b><br><span>2019-03 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://link.springer.com/article/10.1007/s10958-019-04187-z" target="_blank">On functions bounded by Karamata functions</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 8.678494
  +"parent": null
}