Essec\Faculty\Model\Contribution {#2233
  #_index: "academ_contributions"
  #_id: "4917"
  #_source: array:26 [
    "id" => "4917"
    "slug" => "on-functions-bounded-by-karamata-functions"
    "yearMonth" => "2017-08"
    "year" => "2017"
    "title" => "On Functions Bounded by Karamata Functions"
    "description" => "CADENA, M., KRATZ, M. et OMEY, E. (2017). On Functions Bounded by Karamata Functions. Dans: <i>Proceedings of XXXIV International Seminar on Stability Problems for Stochastic Models</i>. Journal of Mathematical Analysis and Applications."
    "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" => "Proceedings of XXXIV International Seminar on Stability Problems for Stochastic Models"
    "keywords" => []
    "updatedAt" => "2021-09-24 10:33:27"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => null
      "volume" => null
      "number" => null
    ]
    "type" => array:2 [
      "fr" => "Actes d'une conférence"
      "en" => "Conference Proceedings"
    ]
    "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 in terms of their asymptotic behavior at infinity. This new class extends the class of regularly varying functions, for broader applications. We provide different characterizations of the new class and consider integrals, convolutions and Laplace transforms. We give some applications in probability theory. Some natural extensions of the new class are also derived."
      "en" => "We define a new class of positive and measurable functions in terms of their asymptotic behavior at infinity. This new class extends the class of regularly varying functions, for broader applications. We provide different characterizations of the new class and consider integrals, convolutions and Laplace transforms. We give some applications in probability theory. Some natural extensions of the new class are also derived."
    ]
    "authors_fields" => array:2 [
      "fr" => "Systèmes d'Information, Data Analytics et Opérations"
      "en" => "Information Systems, Data Analytics and Operations"
    ]
    "indexedAt" => "2024-12-21T13:21:43.000Z"
    "docTitle" => "On Functions Bounded by Karamata Functions"
    "docSurtitle" => "Actes d'une conférence"
    "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">Systèmes d'Information, Data Analytics et Opérations</span> | <span class="document-property-year">2017</span>"
    "keywordList" => ""
    "docPreview" => "<b>On Functions Bounded by Karamata Functions</b><br><span>2017-08 | Actes d'une conférence </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">On Functions Bounded by Karamata Functions</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 8.677269
  +"parent": null
}