POPOVICIU TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS VIA LIDSTONE INTERPOLATION

被引：1
|
作者：
Pecaric, Josip [1 ,2 ]
Praljak, Marjan [3 ]
机构：
[1] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28, Zagreb 10000, Croatia
[2] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
[3] Univ Zagreb, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 04期
关键词：
n-convex functions; Lidstone interpolation; Cebysev functional;
D O I：
10.7153/mia-2019-22-85
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use Lidstone's interpolating polynomials to obtain Popoviciu-type inequalities containing sums Sigma(m)(i=1) p(i)f(x(i)) , where f is an n-convex function with even n. We also give integral analogues of the results, some related inequalities for n-convex functions at a point and bounds for integral remainders of identities associated with the obtained inequalities.
引用
收藏
页码：1243 / 1256
页数：14
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