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

Kemali, Serap; Yesilce, Ilknur; Adilov, Gabil


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/77353</identifier>
  <creators>
    <creator>
      <creatorName>Kemali, Serap</creatorName>
      <givenName>Serap</givenName>
      <familyName>Kemali</familyName>
      <affiliation>Akdeniz Univ, Vocat Sch Tech Sci, Dept Math, Antayla, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Yesilce, Ilknur</creatorName>
      <givenName>Ilknur</givenName>
      <familyName>Yesilce</familyName>
      <affiliation>Mersin Univ, Sci &amp; Letters Fac, Dept Math, Mersin, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Adilov, Gabil</creatorName>
      <givenName>Gabil</givenName>
      <familyName>Adilov</familyName>
      <affiliation>Akdeniz Univ, Fac Educ, Dept Math, TR-07058 Antalya, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>B-Convexity, B-1-Convexity, And Their Comparison</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/77353</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1080/01630563.2014.970641</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">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.</description>
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