Journal of Function Spaces (Jan 2021)

Inequalities for Unified Integral Operators via Strongly α,h‐m-Convexity

  • Zhongyi Zhang,
  • Ghulam Farid,
  • Kahkashan Mahreen

DOI
https://doi.org/10.1155/2021/6675826
Journal volume & issue
Vol. 2021

Abstract

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In this paper, we give a generalized definition namely strongly α,h‐m-convex function that unifies many known definitions. By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex functions. Moreover, this paper at once provides refinements and generalizations of a lot of fractional integral inequalities which are identified in remarks.