Inequalities involving new fractional integrals technique via exponentially convex functions

  • S. Rashid COMSATS Univ., Islamabad, Pakistan
  • M. A. Noor Government College Univ., Faisalabad, Pakistan
  • K. I. Noor COMSATS Univ., Islamabad, Pakistan
Keywords: convex function, exponentially convex functions, new fractional integral operators, Hermite-Hadamard inequality, Hermite-Hadamard-Fej´er inequality

Abstract

UDC 517.5

We establish some new Hermite–Hadamard type inequalities involving fractional integral operators with the exponential kernel.
Meanwhile, we present many useful estimates on these types of new Hermite–Hadamard type inequalities via exponentially convex functions.

 

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Published
16.09.2021
How to Cite
Rashid, S., M. A. Noor, and K. I. Noor. “Inequalities Involving New Fractional Integrals Technique via Exponentially Convex Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 9, Sept. 2021, pp. 1217 -30, doi:10.37863/umzh.v73i9.947.
Section
Research articles