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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.

More on Ostrowski type inequalities for some s-convex functions in the second sense

Liu Z.

Demonstratio Mathematica

2016

Vol. 49, nr 4

398--412

Some Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected.