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Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators

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  • Tao Yan
  • Ghulam Farid
  • AyÅŸe Kübra Demirel
  • Kamsing Nonlaopon
  • Sun Young Cho

Abstract

The purpose of this article is to demonstrate new generalized k-fractional Hadamard and Fejér–Hadamard integral inequalities for α,h−m-convex functions. To prove these inequalities, k-fractional integral operators including the generalization of the Mittag–Leffler function are used. The results presented in this article can be considered an important advancement of previously published inequalities.

Suggested Citation

  • Tao Yan & Ghulam Farid & AyÅŸe Kübra Demirel & Kamsing Nonlaopon & Sun Young Cho, 2022. "Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators," Journal of Mathematics, Hindawi, vol. 2022, pages 1-22, May.
    • Handle: RePEc:hin:jjmath:9135608
    DOI: 10.1155/2022/9135608
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