Some Generalized Inequalities Involving Local Fractional Integrals and their Applications for Random Variables and Numerical Integration

Erden, SametSarıkaya, Mehmet ZekiÇelik, N.2020-04-302020-04-3020161336-91801339-0015https://doi.org/10.1515/jamsi-2016-0008https://hdl.handle.net/20.500.12684/4590WOS: 000397261700003We establish generalized pre-Gruss inequality for local fractional integrals. Then, we obtain some inequalities involving generalized expectation, p-moment, variance and cumulative distribution function of random variable whose probability density function is bounded. Finally, some applications for generalized Ostrowski-Gruss inequality in numerical integration are given.en10.1515/jamsi-2016-0008info:eu-repo/semantics/openAccessGruss inequalityOstrovski inequalitylocal fractional integralsrandom variablesSome Generalized Inequalities Involving Local Fractional Integrals and their Applications for Random Variables and Numerical IntegrationArticle1224965N/A