COMBINATORIAL EXTENSIONS OF POPOVICIU'S INEQUALITY VIA ABEL-GONTSCHAROFF POLYNOMIAL WITH APPLICATIONS IN INFORMATION THEORY

被引：2

作者：

Butt, Saad Ihsan ^{[1
]}

Rasheed, Tahir ^{[1
]}

Pecaric, Dilda ^{[2
]}

Pecaric, Josip ^{[3
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, Pakistan

[2] Catholic Univ Croatia, Ilica 242, Zagreb, Croatia

[3] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2020年 / 24卷 / 542期

关键词：

Popoviciu's inequality; n-convex function; new Green functions; Gruss and Ostrowski inequality; divergence functional; Shannon Entropy; Kullback-Liebler distance; GREEN-FUNCTION; LAW; BOUNDS;

D O I：

10.21857/mzvkptqwg9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish new refinements and improvements of Popoviciu's inequality for n-convex functions using Abel-Gontscharoff interpolating polynomial along with the aid of new Green functions. We construct new inequalities for n-convex functions and compute new upper bounds for Ostrowski and Gruss type inequalities. As an application of our work in information theory, we give new estimations for Shannon, Relative and Zipf-Mandelbrot entropies using generalized Popoviciu's inequality.

引用

页码：59 / 80

页数：22

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