Novel Refinements via n –Polynomial Harmonically s –Type Convex Functions and Application in Special Functions

Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions

We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered.

HERMITE-HADAMARD-FEJER TYPE INEQUALITIES FOR HARMONICALLY s-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

In this paper, some Hermite-Hadamard-Fejer type integral inequalities for harmonically s-convex functions in fractional integral forms have been obtained.

Inequalities of Ando's Type for $n$-convex Functions

By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.

Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions

The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of functions.

Refinements of s-Orlicz Convex Functions in Normed Linear Spaces