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Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61110, Pakistan.

2 Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania.

3 Department of Mathematics, ITER, SOA University, Bhubaneswar 751030, India.

Abstract

In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals. By using Katugampola fractional integral operators, we obtained several new identities and presented new results for the s-convex function in the second sense. We made connections of our results with various results recognized in the literature. Finally, applications to special means are examined to verify the efficiency of the established results.

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References
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Sahand Communications in Mathematical Analysis

Articles in Press, Accepted Manuscript
Available Online from 13 April 2024
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