INEQUALITIES FOR EXPONENTIALLY CONVEX AND m-CONVEX FUNCTIONS WITH APPLICATIONS

Authors

  • Wasim Iqbal Department of Mathematics, COMSATS University Islamabad, Islamabad Pakistan
  • Laxmi Rathour Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India
  • Atiq Ur Rehman Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan
  • Naveed Latif General Studies Department Jubail Industrial College, Jubail 35961, Royal Commission of Jubail and Yanbu, Kingdom of Saudi Arabia.
  • Ghulam Farid Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan

DOI:

https://doi.org/10.30495/jme.v19i0.3136

Abstract

In this article, general companion inequalities related to Jensen’stype inequalities for exponentially m-convex functions are derived.These inequalitiescan be utilized to deduce Jensen’s and Slater’s type inequalities for arange of symmetric functions about a point. Furthermore, weighted Hermite-Hadamard type, Giaccardi type, and Petrovi´c type inequalities are derivedfrom these companion inequalities.

Published

2025-07-28

Issue

Vol. 19

Section

Vol. 19, No. 3, (2025)

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