GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY

We establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 3; p. 609
Main Authors Erden, S, Sarikaya, M.Z, Dragomir, S.S
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Equality
Inequalities
Inequalities (Mathematics)
Integrals
Mathematical research
Numerical analysis
Turkey
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Summary:We establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.
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ISSN:2146-1147
2146-1147