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Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions

Author

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  • Shasha Li
  • Ghulam Farid
  • Atiq Ur Rehman
  • Hafsa Yasmeen
  • Ahmet Ocak Akdemir

Abstract

In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially α,h−m-convex functions via generalized Riemann–Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly m-convex, strongly s-convex, strongly α,m-convex, strongly s,m-convex, strongly h−m-convex, strongly α,h−m-convex, strongly exponentially convex, strongly exponentially m-convex, strongly exponentially s-convex, strongly exponentially s,m-convex, strongly exponentially h−m-convex, and exponentially α,h−m-convex functions. The error estimations are also studied by applying two fractional integral identities.

Suggested Citation

  • Shasha Li & Ghulam Farid & Atiq Ur Rehman & Hafsa Yasmeen & Ahmet Ocak Akdemir, 2021. "Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially α,h−m-Convex Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-23, August.
    • Handle: RePEc:hin:jjmath:2555974
    DOI: 10.1155/2021/2555974
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