Hermite-Hadamard's Mid-Point Type Inequalities for Generalized\n Fractional Integrals

2019/02/17 by M. Rostamian Delavar, Delavar, M. Rostamian
Mathematics · #26A33 #26A51 #26D10 #26D15 #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1902.07299

openalex publication_date 2019/02/17 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

Some Hermite-Hadamard's mid-point type inequalities related to Katugampola\nfractional integrals are obtained where the first derivative of considered\nmappings is Lipschitzian or convex. Also some mid-point type inequalities are\ngiven for Lipschitzian mappings, with the aim of generalizing the results\npresented in previous works. Finally as an application, some generalized\ninequalities in connection with special means are provided.\n

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