Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Hermite-Hadamard-Mercer Type Inequalities for generalized Proportional Fractional Integrals

Version 1 : Received: 24 December 2020 / Approved: 28 December 2020 / Online: 28 December 2020 (11:23:16 CET)

How to cite: KILINÇ YILDIRIM, S.; Yıldırım, H. On the Hermite-Hadamard-Mercer Type Inequalities for generalized Proportional Fractional Integrals. Preprints 2020, 2020120687 (doi: 10.20944/preprints202012.0687.v1). KILINÇ YILDIRIM, S.; Yıldırım, H. On the Hermite-Hadamard-Mercer Type Inequalities for generalized Proportional Fractional Integrals. Preprints 2020, 2020120687 (doi: 10.20944/preprints202012.0687.v1).

Abstract

Our aim in this paper is to establish some new Hermite-Hadamard- Mercer type integral inequalities by utilizing the fractional proportional-integral operators.For this purpose, Hermite-Hadamard-Mercer inequalities for di¤er- antiable mappings whose derivatives in absolute value are convex.

Subject Areas

convex function; Hermite Hadamard inequalities; Jensen inequalities; Jensen-Mercer ·inequality; fractional integrals; fractional proportional integrals; fractional integral inequalities

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