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Article Dans Une Revue Italian Journal of Pure and Applied Mathematics Année : 2020

Integral inequalities of Hermite--Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions

Résumé

In the paper, the authors introduce the concepts ``$(\alpha,s)$-convex function'' and ``$(\alpha,s,m)$-convex function'' and establish some new integral inequalities of the Hermite--Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions in terms of the classical Euler beta, gamma, and polygamma functions.
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Dates et versions

hal-01761678 , version 1 (09-04-2018)
hal-01761678 , version 2 (14-11-2020)

Identifiants

  • HAL Id : hal-01761678 , version 2

Citer

Bo-Yan Xi, Dan-Dan Gao, Feng Qi. Integral inequalities of Hermite--Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions. Italian Journal of Pure and Applied Mathematics, 2020, 44, pp.499--510. ⟨hal-01761678v2⟩
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