Jensen-Gruss inequality and its applications for the Zipf-Mandelbrot law

被引：39

作者：

Butt, Saad Ihsan ^{[1
]}

Klaricic Bakula, Milica ^{[2
]}

Pecaric, Dilda ^{[3
]}

Pecaric, Josip ^{[4
]}

机构：

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

[2] Univ Split, Fac Sci, Split, Croatia

[3] Catholic Univ Croatia, Zagreb, Croatia

[4] RUDN Univ, Math Inst, Moscow, Russia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 02期

关键词：

Gruss inequality; Jensen inequality; Lipschitz condition; Zipf-Mandelbrot law;

D O I：

10.1002/mma.6869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove several Jensen-Gruss type inequalities under various conditions. Some applications in information theory are also given.

引用

页码：1664 / 1673

页数：10

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Pecaric, Dilda ;

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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) :7411-7424

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