Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities

Abstract

In the present paper, new classes of convexity, namely, exponentially $m-$ and$(\alpha,m)-$convex functions on the co-ordinates are defined. Then, some new integral inequalities are proved by using some classical inequalities and properties of exponentially $m-$ ad $(\alpha,m)-$convex functions on the co-ordinates.

Keywords

• coordinates
• exponentially convex functions
• Hölder inequality

Kaynakça

1. Dragomir, S.S. (2001). On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Math., 5, 775-788. Dragomir, S.S. and Toader, G. (1993). Some inequalities for m−convex functions, Studia University Babes Bolyai, Mathematica, 38 (1), 21-28. Mihes¸an, V.G. (1993). A generalization of the convexity, Seminar of Functional Equations, Approx. and Convex, Cluj-Napoca (Romania) (1993).