Some Hadamard’s Inequalities for Co-Ordinated Convex Functions in a Rectangle From the Plane

On Some Hadamard-Type Inequalities for Convex Functions On A Rectangular Box

“…For similar results refer papers [2,3,4,5,20,21,22,23,26]. In this paper, the convex functions on a rectanguler box have been defined and proven as a theorem similar to Theorem (1.1) on a rectanguler box; also, mapping related to the convex functions on a rectanguler box has been established.…”

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.…”

Generalization of the Fejér-Hadamard's Inequality for Convex Function on Coordinates

“…In many areas of analysis, application of the Hadamard inequality appear for different classes of functions (see [1,3,6,10,18] for convex functions). Some useful mappings connected to this inequality are also defined by many authors, for example, see [2,5,10,14]. In recent years, the concept of convexity has been extended and generalized in various directions.…”

“…, s n )g k (x k )g k+1 (x k+1 )dx k+1 dx k . Now using the inequalities (14) and (15) in (13) we get (12).…”