Some Ostrowski Type Inequalities for Harmonically s, m-Convex Functions in Second Sense

Abstract

The authors introduce the concept of harmonically ( , )-convex functions in second sense and establish some Ostrowski type inequalities of these classes of functions.

Characterizations of Classes of Harmonic Convex Functions and Applications

“…In recent years, several extensions, refinements, and generalizations have been considered for classical convexity. In [7], I. A. Baloch andİ.İşcan defined a new class of functions which is defined as follow:…”

Some new simpson type inequalities for the p-convex and p-concave functions

“…Many papers have been written by a number of mathematicians concerning inequalities for di¤erent classes of harmonically convex and p-convex functions see for instance the recent papers [3,7,8,9,10,11,12,17,18,19,21,22,24] and the references within these papers.…”

Some Integral Inequalities for Harmonically (α,s)-Convex Functions

“…In [10],İ s,can introduced the class of harmonically convex functions and investigated the Hermite-Hadamard type inequalities for this new class of functions. For several recent results, generalizations, improvements, and refinements concerning harmonically convex functions; see [10][11][12][13][14][15][16]. There have been many studies dedicated to generalizing the harmonic convex functions and to establishing their Hermite-Hadamard type inequalities.…”

“…There have been many studies dedicated to generalizing the harmonic convex functions and to establishing their Hermite-Hadamard type inequalities. For some recent studies on Hermite-Hadamard type inequalities, please refer to the monographs [10][11][12][16][17][18][19][20][21][22][23][24].…”