Generalization of different type integral inequalities for generalized (s, m)-preinvex Godunova-Levin functions

• Autorzy: Kashuri A. , Liko R.

Identyfikatory

DOI

10.1515/jaa-2018-0020

• Języki publikacji: EN

Abstrakty

EN

In the present paper, the notion of generalized (s, m)-preinvex Godunova-Levin function of second kind is introduced, and some new integral inequalities involving generalized (s, m)-preinvex Godunova-Levin functions of second kind along with beta function are given. By using a new identity for fractional integrals, some new estimates on generalizations of Hermite-Hadamard, Ostrowski and Simpson type inequalities for generalized (s, m)-preinvex Godunova-Levin functions of second kind via Riemann-Liouville fractional integral are established.

Słowa kluczowe

EN

Hermite-Hadamard inequality; Ostrowski type inequality; Simpson type inequality; Hölder's inequality; fractional integral

PL

nierówność Hermite-Hadamarda; nierówności typu Ostrowskiego; nierówność typu Simpsona; nierówność Höldera; całka niecałkowitego rzędu

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2018
• Tom: Vol. 24, nr 2
• Strony: 211--221
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Kashuri A.

• Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania

autor

Liko R.

• Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania

Bibliografia

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