Extensions in Time Scales Integral Inequalities of Jensen's Type via Fink's Identity

被引：0
|
作者：
Bibi, Rabia [1 ]
Nosheen, Ammara [2 ]
Pecaric, Josip [3 ]
机构：
[1] Abbottabad Univ Sci & Technol, Dept Math, Havelian, Abbottabad, Pakistan
[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[3] Rudn Univ, Dept Math, 6 Miklukho Maklay St, Moscow 117198, Russia
来源：
MATHEMATICA SLOVACA | 2023年 / 73卷 / 03期
关键词：
Time scales integrals; Jensen's inequality; Jensen-Steffensen inequality; Green's function; Fink's identity; BOUNDS;
D O I：
10.1515/ms-2023-0048
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using Fink's identity and Green's function, we obtain several extensions of Jensen's inequality, Jensen-Steffensen inequality, and the converse of Jensen's inequality for diamond integrals. Functions involved in these extensions are n-convex functions, n is an element of Z+. Some bounds for related identities are also part of the discussion. An improved Holder's inequality is obtained as an application of improved Jensen's inequality.
引用
收藏
页码：657 / 674
页数：18
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