On the classes of higher-order Jensen-convex functions and Wright-convex functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Nikodem, Kazimierz¹  Rajba, Teresa¹  Wasowicz, Szymon¹ 

[1] Univ Bielsko Biala, Dept Math & Comp Sci, PL-43309 Bielsko Biala, Poland

关键词: Convex functions of higher order;    Jensen-convex functions of higher order;    Wright-convex functions of higher order;    Forward difference;    Backward difference;    Hamel basis;    Dirac measure;   

DOI  :  10.1016/j.jmaa.2012.06.028

来源: Elsevier

【 摘 要 】

The classes of n-Wright-convex functions and n-Jensen-convex functions are compared with each other. It is shown that for any odd natural number n the first one is the proper subclass of the second one. To reach this aim new tools connected with measure theory are developed. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free