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

In this paper, we establish several new integral inequalities for (α, 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 Hölder inequality, Hölder-Işcan inequality and Power mean inequality....

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 4; pp. 3906 - 3921
Main Authors Emin Özdemir, M., I. Butt, Saad, Bayraktar, Bahtiyar, Nasir, Jamshed
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
convex function
hermite-hadamard inequality
hölder’s inequality
m)-convex function
power mean inequality
psi-gamma functions
riemann-liouville fractional integrals
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Summary:In this paper, we establish several new integral inequalities for (α, 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 Hölder inequality, Hölder-Işcan inequality and Power mean inequality. We formulate several bounds involving special functions like classical Euler-Gamma, Beta and PsiGamma functions. We also give some applications.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020253