Essec\Faculty\Model\Contribution {#2233
  #_index: "academ_contributions"
  #_id: "8286"
  #_source: array:26 [
    "id" => "8286"
    "slug" => "new-results-on-the-order-of-functions-at-infinity"
    "yearMonth" => "2017-06"
    "year" => "2017"
    "title" => "New Results on the Order of Functions at Infinity"
    "description" => "CADENA, M., KRATZ, M. et OMEY, E. (2017). <i>New Results on the Order of Functions at Infinity</i>. ESSEC Business School."
    "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" => "2021-09-24 10:33:27"
    "publicationUrl" => null
    "publicationInfo" => array:3 [
      "pages" => null
      "volume" => null
      "number" => null
    ]
    "type" => array:2 [
      "fr" => "Documents de travail"
      "en" => "Working Papers"
    ]
    "support_type" => array:2 [
      "fr" => "Editeur"
      "en" => "Publisher"
    ]
    "countries" => array:2 [
      "fr" => null
      "en" => null
    ]
    "abstract" => array:2 [
      "fr" => "Recently, new classes of positive and measurable functions, M(p) and M(±∞), have been defined in terms of their asymptotic behaviour at infinity, when normalized by a logarithm (Cadena et al., 2015, 2016, 2017). Looking for other suitable normalizing functions than logarithm seems quite natural. It is what is developed in this paper, studying new classes of functions of the type lim log U(x)/H(x) = p < ∞ for a large class of normalizing functions H. It provides subclasses of M(0) and M(±∞)."
      "en" => "Recently, new classes of positive and measurable functions, M(p) and M(±∞), have been defined in terms of their asymptotic behaviour at infinity, when normalized by a logarithm (Cadena et al., 2015, 2016, 2017). Looking for other suitable normalizing functions than logarithm seems quite natural. It is what is developed in this paper, studying new classes of functions of the type lim log U(x)/H(x) = p < ∞ for a large class of normalizing functions H. It provides subclasses of M(0) and M(±∞)."
    ]
    "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" => "New Results on the Order of Functions at Infinity"
    "docSurtitle" => "Documents de travail"
    "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>New Results on the Order of Functions at Infinity</b><br><span>2017-06 | Documents de travail </span>"
    "docType" => "research"
    "publicationLink" => "<a href="#" target="_blank">New Results on the Order of Functions at Infinity</a>"
  ]
  +lang: "fr"
  +"_type": "_doc"
  +"_score": 8.677269
  +"parent": null
}