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B-Convexity, B-1-Convexity, and Their Comparison

Kemali, Serap; Yesilce, Ilknur; Adilov, Gabil


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{
  "@context": "https://schema.org/", 
  "@id": 77353, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Akdeniz Univ, Vocat Sch Tech Sci, Dept Math, Antayla, Turkey", 
      "name": "Kemali, Serap"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Mersin Univ, Sci & Letters Fac, Dept Math, Mersin, Turkey", 
      "name": "Yesilce, Ilknur"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Akdeniz Univ, Fac Educ, Dept Math, TR-07058 Antalya, Turkey", 
      "name": "Adilov, Gabil"
    }
  ], 
  "datePublished": "2015-01-01", 
  "description": "A subset U of R-+(n) is B-convex if for all x, y is an element of U and all lambda is an element of [0, 1] one has lambda x proves y is an element of U. These sets were introduced and studied by Briec, Horvath, Rubinov and Adilov [7, 8, 10]. A subset V of is B-1-convex if for all x, y is an element of V and all lambda is an element of [1, infinity) one has lambda x perpendicular to y is an element of V. This concept is defined and studied by Adilov, Briec, and Yesilce. In this work, B-convex and B-1-convex functions are defined and some fundamental theorems about these functions are proved, additionally some important properties of B-convex and B-1-convex sets are compared then the construction of sets is described with graphics.", 
  "headline": "B-Convexity, B-1-Convexity, and Their Comparison", 
  "identifier": 77353, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "B-Convexity, B-1-Convexity, and Their Comparison", 
  "url": "https://aperta.ulakbim.gov.tr/record/77353"
}
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