Some New Integral Inequalities for n-Times Differentiable s-Convex and s-Concave Functions in the Second 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.

Generalization of Some Simpson-Like Type Inequalities via Differentiable s-Convex Mappings in the Second Sense

NEW OSTROWSKI TYPE INEQUALITIES FOR CO-ORDINATED s-CONVEX FUNCTIONS IN THE SECOND SENSE

In this paper some new Ostrowski type inequalities for co-ordinated s-convex functions in the second sense are obtained.

A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE

Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.

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.