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Set, E., Ozdemir, M. E., Sarikaya, M. Z., (2010), Inequalities of Hermite-Hadamard’s type for functions whose derivatives absolute values are m-convex, AIP Conference Proceedings, 1309(1) , pp.861-873.

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Article

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

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 Publishing

Cite 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.com

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.

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