Hermite–Hadamard-type inequalities via different convexities with applications

نویسندگان

چکیده

Abstract In this paper, we explore a class of Hermite–Hadamard integral inequalities for convex and m -convex functions. The Hölder inequality is used to create class, which has wide range applications in optimization theory. Some trapezoid-type midpoint error estimates are investigated. Inequalities several q -special functions highlighted. As particular cases, have included previous results.

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2023

ISSN: ['1025-5834', '1029-242X']

DOI: https://doi.org/10.1186/s13660-023-02957-7