LINEAR OPERATORS INEQUALITY FOR n-CONVEX FUNCTIONS AT A POINT

被引:34
|
作者
Pecaric, Josip [1 ]
Praljak, Marjan [2 ]
Witkowski, Alfred [3 ]
机构
[1] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
[2] Univ Zagreb, Fac Food Technol & Biotechnol, Zagreb 10000, Croatia
[3] UTP Univ Sci & Technol, Inst Math & Phys, PL-85796 Bydgoszcz, Poland
来源
关键词
n-convex functions; n-convex functions at a point; Levinson's inequality;
D O I
10.7153/mia-18-93
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study necessary and sufficient conditions on linear operators A and B for inequality Af <= Bf to hold for every function f that is n-convex at a point.
引用
收藏
页码:1201 / 1217
页数:17
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