Several integral inequalities for (α, s, m) -convex functions

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Date

2020

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Publisher

American Institute of Mathematical Sciences

Abstract

In this paper, we establish several new integral inequalities for (alpha, s, m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case. In order to obtain our results, we use classical inequalities such as Holder inequality, Holder-Iscan inequality and Power mean inequality. We formulate several bounds involving special functions like classical Euler-Gamma, Beta and Psi-Gamma functions. We also give some applications.

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Keywords

Mathematics, Convex function, (Alpha, s, m)-convex function, Hermite-hadamard inequality, Riemann-liouville fractional integrals, Holder's inequality, Power mean inequality, Psi-gamma functions, Hermite-hadamard-typem)-convex, (Alpha, (S

Citation

Özdemir, M. E. vd. (2020). "Several integral inequalities for (α, s, m) -convex functions". AIMS Mathematics, 5(4), 3906-3921.