On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications

Generalizations on Some Hermite-Hadamard Type Inequalities for Differentiable Convex Functions with Applications to Weighted Means

Some new Hermite-Hadamard type inequalities for differentiable convex functions were presented by Xi and Qi. In this paper, we present new generalizations on the Xi-Qi inequalities.

(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.

Exponentially Convex Functions on Hypercomplex Systems

Remarks on some inequalities for s-convex functions and applications

holds for all x, y ∈ [,∞), λ ∈ [, ] and for some fixed s ∈ (, ]. The class of s-convex functions in the second sense is usually denoted by K s . It can be easily seen that for s =  s-convexity reduces to ordinary convexity of functions defined on [,∞). It is proved in [] that all functions from K s , s ∈ (, ) are nonnegative. Similarly, a function f : [,∞)→ R is said to be s-concav...

On Some Inequalities for h-Convex Functions

In this paper some inequalities for h-convex functions are established. Mathematics Suject Classification: Primary 26D15; Secondary 26A51