Some inequalities for (s1;m1)-(s2;m2)-convex functions on the co-ordinates

Abstract

In this paper, the authors introduce a new concept " 11 ( , ) sm -22 ( , ) sm -convex function on co-ordinates" and establish some inequalities for 11 ( , ) sm -22 ( , ) sm -convex functions of 2-variables on the co-ordinates.

Some Hermite–Hadamard type inequalities for log-h-convex functions

“…The inequality (1.1) may be considered as a necessary and sufficient condition for a function to be convex. For useful details on integral inequalities of Hermite-Hadamard type, see [1,2,5,6,7,11,12,13,14,16,17,18,19,21,22] and closely related references therein. In recent years, some extensions and generalizations have been considered for the classical convexity using novel and innovative techniques, see [1,3,4,7,8,9,10,11,12,13,14,15,16,17,18,21,22] and closely related references therein.…”

Hermite-Hadamard type inequalities for (p1,h1)-(p2,h2)-convex functions on the co-ordinates

“…For such a mapping Dragomir [16] proved the following Hermite-Hadamard type in- For refinements and counterparts of other type convex functions on the co-ordinates, see [18,19,20,21,22,23,24,25].…”

Some new Hermite--Hadamard type inequalities for geometrically quasi-convex functions on co-ordinates

“…For more information on this topic, please refer to the papers [1,2,3,7,8,11,12,13,14,15] and related references therein.…”