SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

In this paper, we present new inequalities connected with fractional integrals for twice differentiable functions derivatives which are (s,m)--convex functions. To obtain this, integral inequalities were used classical inequalities as Holder inequalitiy and power mean inequality.This results are rel...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 3; p. 625
Main Author Bayraktar, B
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2020
Elman Hasanoglu
Subjects
Convex analysis
Convex functions
Inequalities
Inequalities (Mathematics)
Integrals
Mathematical research
Turkey
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Summary:In this paper, we present new inequalities connected with fractional integrals for twice differentiable functions derivatives which are (s,m)--convex functions. To obtain this, integral inequalities were used classical inequalities as Holder inequalitiy and power mean inequality.This results are related to the well-known integral inequality of the Hermite-Hadamard type. Also some applications to special means are provided. Keywords: convex function,(s, m)--convex, Hermite-Hadamard inequalitiy, Riemann-Liouville fractional integral, power mean inequalitiy, Holder inequality. AMS Subject Classification: 26A33, 26A51, 26D15.
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ISSN:2146-1147
2146-1147