Exponential convexity of Petrović and related functional

Journal of inequalities and applications

Saad I Butt¹ 

关键词: convex functions;    divided difference;    exponentially convex;    functionals;    log-convex functions;    positive semi-definite;   

DOI  :  10.1186/1029-242X-2011-89

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider functionals due to the difference in Petrović and related inequalities and prove the log-convexity and exponential convexity of these functionals by using different families of functions. We construct positive semi-definite matrices generated by these functionals and give some related results. At the end, we give some examples.

【 授权许可】

CC BY