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

Kashuri A., Liko R.

Journal of Applied Analysis

2018

Vol. 24, nr 2

211--221

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.

New Ostrowski and Gruss type inequalities for double integrals

Pachpatte B.

Demonstratio Mathematica

2006

Vol. 39, nr 4

783-791

In the present paper we establish new Ostrowski and Grüss type inequ- alities for double integrals involving three functions and their partial derivatives. The discrete Ostrowski and Grüss type inequalities for double sums are also given.