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Hermite-Hadamard type inequalities for new conditions on <i>h</i>-convex functions via ψ -Hilfer integral operators

Benaissa, Bouharket; Azzouz, Noureddine; Budak, Huseyin


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/285341</identifier>
  <creators>
    <creator>
      <creatorName>Benaissa, Bouharket</creatorName>
      <givenName>Bouharket</givenName>
      <familyName>Benaissa</familyName>
      <affiliation>Univ Tiaret, Fac Mat Sci, Lab Informat &amp; Math, Tiaret, Algeria</affiliation>
    </creator>
    <creator>
      <creatorName>Azzouz, Noureddine</creatorName>
      <givenName>Noureddine</givenName>
      <familyName>Azzouz</familyName>
    </creator>
    <creator>
      <creatorName>Budak, Huseyin</creatorName>
      <givenName>Huseyin</givenName>
      <familyName>Budak</familyName>
      <affiliation>Duzce Univ, Fac Sci &amp; Arts, Dept Math, TR-81620 Duzce, Turkiye</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Hermite-Hadamard Type Inequalities For New Conditions On &lt;I&gt;H&lt;/I&gt;-Convex Functions Via Ψ -Hilfer Integral Operators</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2024</publicationYear>
  <dates>
    <date dateType="Issued">2024-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/285341</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s13324-024-00893-3</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">&lt;p&gt;We employ a new function class called B-function to create a new version of fractional Hermite-Hadamard and trapezoid type inequalities on the right-hand side that involves h-convex and psi -Hilfer operators. We also provide new midpoint-type inequalities using h-convex functions.&lt;/p&gt;</description>
  </descriptions>
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