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STUDIA MATHEMATICA - Issue no. 4 / 2021 | |||||||
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FRACTIONAL HADAMARD AND FEJÉR-HADAMARD INEQUALITIES FOR EXPONENTIALLY m-CONVEX FUNCTION. Authors: SAJID MEHMOOD, GHULAM FARID. |
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Abstract: DOI: 10.24193/subbmath. 2021.4.03 Published Online: 2021-12-14 Published Print: 2021-12-30 pp. 629-640 VIEW PDF FULL PDF Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fejér-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function. Exponentially m-convexity is utilized to establish these inequalities. By fixing parameters involved in the Mittag-Leffler function Hadamard and the Fejér-Hadamard inequalities for various well known fractional integral operators can be obtained. Keywords: Convex functions, exponentially m-convex functions, Hadamard inequality, Fejér-Hadamard inequality, fractional integral operators, Mittag-Leffler function. Mathematics Subject Classification (2010): 26B25, 26A33, 26A51, 33E12. |
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