New generalized integral inequalities via $(h,m)$-convex modified functions

B. Bayraktar ; J. E. Nápoles Valdés

Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 60 (2022), pp. 3-15.

Résumé

In this article, we establish several inequalities for $(h,m)$-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.

Détail

Keywords: Hermite–Hadamard inequality, Hölder inequality, power mean inequality, weighted integrals, $(m,h)$-convex functions.

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