Several integral inequalities for (α, s, m) -convex functions
Date
2020
Authors
Butt, Saad I.
Nasir, Jamshed
Journal Title
Journal ISSN
Volume Title
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.
Description
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.