Essec\Faculty\Model\Contribution {#2216
  #_index: "academ_contributions"
  #_id: "2132"
  #_source: array:26 [
    "id" => "2132"
    "slug" => "on-the-order-of-functions-at-infinity"
    "yearMonth" => "2017-08"
    "year" => "2017"
    "title" => "On the Order of Functions at Infinity"
    "description" => "CADENA, M., KRATZ, M. et OMEY, E. (2017). On the Order of Functions at Infinity. <i>Journal of Mathematical Analysis and Applications</i>, 452(1), pp. 109-125."
    "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" => array:4 [
      0 => "Karamata's theorem"
      1 => "Karamata's Tauberian theorem"
      2 => "Regular variation"
      3 => "Representation theorems"
    ]
    "updatedAt" => "2021-09-24 10:33:27"
    "publicationUrl" => "https://www.sciencedirect.com/science/article/abs/pii/S0022247X17301920"
    "publicationInfo" => array:3 [
      "pages" => "109-125"
      "volume" => "452"
      "number" => "1"
    ]
    "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 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" => "2024-11-21T10:21:50.000Z"
    "docTitle" => "On the Order of Functions at Infinity"
    "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">2017</span>"
    "keywordList" => "<a href="#">Karamata's theorem</a>, <a href="#">Karamata's Tauberian theorem</a>, <a href="#">Regular variation</a>, <a href="#">Representation theorems</a>"
    "docPreview" => "<b>On the Order of Functions at Infinity</b><br><span>2017-08 | Journal articles </span>"
    "docType" => "research"
    "publicationLink" => "<a href="https://www.sciencedirect.com/science/article/abs/pii/S0022247X17301920" target="_blank">On the Order of Functions at Infinity</a>"
  ]
  +lang: "en"
  +"_type": "_doc"
  +"_score": 9.0310545
  +"parent": null
}