Trapezoidal Error Approximation by the Way of Integral Inequalities for Katugampola Fractional Integral Operator

Muhammad Muddassar^1, , Sajida Batool¹ and Tahira Jabeen²

¹Department of Basic Sciences, University of Engineering & Technology Taxila

²Department of Mathematics & Statistics, International Islamic University Islamabad

Cite this paper:
Muhammad Muddassar, Sajida Batool and Tahira Jabeen. Trapezoidal Error Approximation by the Way of Integral Inequalities for Katugampola Fractional Integral Operator. Turkish Journal of Analysis and Number Theory. 2022; 10(1):15-20. doi: 10.12691/tjant-10-1-4

Abstract

In the paper under consideration, we will discuss integral inequalities by the way of fractional integral operators for generalized convex functions. For fractional integral operators, a new identity is established and some results of Hermite-Hadamard type inequalities are achieved. This fractional operator have been used to derive a new generalization of the Hermite-Hadamard inequality. In the previous papers the author used the definition of k-fractional conformable integral inequalities and we used the definition of katugampola fractional integrals in this paper. In this paper, we have given a best appropriate definition for fractional integral operators.

Keywords:
Hermite-Hadamard inequality Katugampola fractional integrals generalized convex function

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