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

被引：5
|
作者：
Mrowiec, Jacek [1 ]
Rajba, Teresa [1 ]
Wasowicz, Szymon [1 ]
机构：
[1] Univ Bielsko Biala, Dept Math, Willowa 2, PL-48309 Bielsko Biala, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 450卷 / 02期
关键词：
Higher-order; (Wright; Jensen)-convexity; Higher-order strong (Wright; Difference operator; Hamel basis;
D O I：
10.1016/j.jmaa.2017.01.083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently Nikodem, Rajba and W4sowicz compared the classes of n-Wright-convex functions and n-Jensen-convex functions by showing that the first one is a proper subclass of the latter one, whenever n is an odd natural number. Till now the case of even n was an open problem. In this paper the complete solution is given: it is shown that the inclusion is proper for any natural n. The classes of strongly n-Wright-convex and strongly n-Jensen-convex functions are also compared (with the same assertion). (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：1144 / 1147
页数：4
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