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

页码：657 / 674

页数：18

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