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Xiuzhi Yang , Ghulam Farid , Waqas Nazeer , Yu‐Ming Chu , Chunfa Dong ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.3934/math.2020407 · OA: W3047793579

The objective of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities in generalized forms. By employing a generalized fractional integral operator containing extended generalized Mittag-Leffler function involving a monotone increasing function, we generalize the well known fractional Hadamard and Fejér-Hadamard inequalities for m-convex functions. Also we study the error bounds of these generalized inequalities. In connection with some published results from presented inequalities are obtained.