Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Reverse Inequalities through k-weighted Fractional Operators with Two Parameters

  • Bouharket Benaissa (Faculty of Material Sciences, Laboratory of Informatics and Mathematics, University of Tiaret) ;
  • Noureddine Azzouz (Faculty of Sciences, University Center Nour Bachir El Bayadh)
  • Received : 2023.06.10
  • Accepted : 2023.08.17
  • Published : 2024.03.31
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Abstract

The aim of this paper is to present an approach to improve reverse Minkowski and Hölder-type inequalities using k-weighted fractional integral operators a+𝔍𝜇w with respect to a strictly increasing continuous function 𝜇, by introducing two parameters of integrability, p and q. For various choices of 𝜇 we get interesting special cases.

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References

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