New entropic bounds on time scales via Hermite interpolating polynomial

被引：5

作者：

Ansari, Iqrar ^{[1
,2
]}

Khan, Khuram Ali ^{[1
]}

Nosheen, Ammara ^{[1
]}

Pecaric, Dilda ^{[3
]}

Pecaric, Josip ^{[4
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha, Pakistan

[2] Govt Mian Muhammad Nawaz Sharif Associate Coll Sa, Sargodha, Pakistan

[3] Univ North, Dept Media & Commun, Trg Dr Zarka Dolinara 1, Koprivnica, Croatia

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Hermite interpolating polynomial; Time scales calculus; Quantum calculus; Information theory; INTEGRAL-INEQUALITIES; F-DIVERGENCE; INFORMATION; SHANNON;

D O I：

10.1186/s13660-021-02730-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hermite's interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszar divergence on time scales. New entropic bounds in q-calculus and h-discrete calculus are also deduced. Some estimates for Zipf-Mandelbrot entropy are also given.

引用

页数：19

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