On co-ordinated quasi-convex functions

Abstract

In this paper, we give some definitions on quasi-convex functions and we prove inequalities contain J-quasi-convex and W-quasi-convex functions. We give also some inclusions.

Integral inequalities for two-dimensional pq-convex functions

“…Dragomir [4] considered the Hermite-Hadamard inequalities for convex functions on the coordinates in rectangle. Thus, it is possible to derive several integral inequalities for two dimensional (coordinated) convex functions, see [22][23][24][25][26][27][28][29] and the references therein. Many interesting inequalities in the literature are proved for convex functions.…”

Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications

“…Özdemir et al [74] generalized the co-ordinated convex function to the co-ordinated quasi-convex function.…”

“…). Özdemir [74] proved that every quasi-convex function is also a co-ordinated quasi-convex function, but the converse does not hold true. The Hermite-Hadamard type inequality (1.2) was generalized to the co-ordinated quasi-convex function by Latif et al [75].…”

Some integral inequalities of the Hermite--Hadamard type for log-convex functions on co-ordinates

“…For more and detailed information on this topic, please refer to the newly published papers [2,[6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and plenty of references therein.…”