On new integral inequalities for m-logarithmically-convex functions

New integral inequalities for $s$-preinvex functions

In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.

Generalizations of Ostrowski-like Type Integral Inequalities for s-Logarithmically Convex Functions in the First Sense

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, we obtain some inequalities new Ostrowski-like type integral inequalities for s-logarithmically convex functions in the first sense.

Some Hermite-Hadamard-like Type Inequalities for Logarithmically Convex Functions

NEW GENERAL INTEGRAL INEQUALITIES FOR (α,m)-GA-CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS

In this paper, the authors give a new identity for Hadamard fractional integrals. By using of this identity, the authors obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (α,m)-GA-convex functions via Hadamard fractional integrals.

On Fejér Type Inequalities for (η1,η2)-Convex Functions

In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...