International Journal of Nonlinear Analysis and Applications

Fractional Hermite-Hadamard type inequalities for functions whose mixed derivatives are co-ordinated $(\log,(s,m))$-convex

Document Type : Research Paper

Authors

1 Higher Normal School of Technological Education, Skikda, Algeria

2 Laboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria

Abstract

In this paper, we introduce the class of $(\log,(s,m))$-convexity on the co-ordinates, we establish a new identity involving the functions of two independent variables, and then we derive some fractional Hermite-Hadamard type integral inequalities for functions whose second derivatives are co-ordinated $(\log,(s,m))$-convex.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 159-171
  • Receive Date: 15 August 2021
  • Accept Date: 01 September 2021