1Department of Basic Sciences, University of Engineering & Technology Taxila
2Department of Mathematics & Statistics, International Islamic University Islamabad
Turkish Journal of Analysis and Number Theory.
2022,
Vol. 10 No. 1, 15-20
DOI: 10.12691/tjant-10-1-4
Copyright © 2022 Science and Education PublishingCite this paper: Muhammad Muddassar, Sajida Batool, 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.
Correspondence to: Muhammad Muddassar, Department of Basic Sciences, University of Engineering & Technology Taxila. Email:
malik.muddassar@gmail.comAbstract
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