Some integral inequalities for logarithmically convex functions

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

Some integral inequalities of Simpson type for GA-"-convex functions

We introduce a new concept “GA-"-convex function” and establish some inteNote 1: Red parts indicate major changes. Please check them carefully. gral inequalities of Simpson type for GA-"-convex functions.

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.

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.

(m1,m2)-AG-Convex Functions and Some New Inequalities

In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.