On Certain Properties for Two Classes of Generalized Convex Functions

Abstract and Applied Analysis

Research Article

Mohamed S. S. Ali¹ 

[1] Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt, asu.edu.eg

Others  :  1244085
DOI  :  10.1155/2016/4652038

 received in 2016-03-31, accepted in 2016-05-04,  发布年份 2016

【 摘 要 】

Two classes of generalized convex functions in the sense of Beckenbach are considered. For both classes, we show that the existence of support curves implies their generalized convexity and obtain an extremum property of these functions. Furthermore, we establish Hadamard’s inequality for them.

【 授权许可】

CC BY   
Copyright © 2016 Mohamed S. S. Ali. 2016

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