On the Stability and General Solution of a Sum Form Functional Equation Emerging from Information Theory

Dhiraj Kumar Singh; Shveta Grover

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On the Stability and General Solution of a Sum Form Functional Equation Emerging from Information Theory

机译：从信息理论中出现的总和形态功能方程的稳定性与通用解

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In this paper we intend to obtain the general solutions of a sum form functional equation containing two unknown mappings followed by discussing the criteria of stability for the same. Some of these solutions are related to entropies of type (α, β) proposed by Behara and Nath [3].

机译：在本文中，我们打算获得包含两个未知映射的总和形态功能方程的一般解，然后讨论相同的稳定性标准。这些解决方案中的一些与代表和NATH提出的（α，β）的熵相关[3]。

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《Bulletin of Mathematical Analysis and Applications》 |2020年第3期|共18页
作者
Dhiraj Kumar Singh; Shveta Grover;
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中图分类各科教学法、教学参考书;
关键词
Sum form functional equationadditive mappinglogarithmic mappingbounded mappingthe entropies of type (αβ)stability of a functional equation;

机译：总和形式函数areAtionAddtive映射映射映射映射函数方程的类型（αβ）稳定性的熵;
入库时间 2022-08-19 02:04:42

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1. The stability of a sum form functional equation arising in information theory [J] . I. Kocsis, Gy. Maksa Acta mathematica Hungarica . 1998,第1a2期

机译：信息论中求和形式函数方程的稳定性
2. Superconformal sum rules and the spectral density flow of the composite dilaton (ADD) multiplet in $N$ $$ mathcal{N} $$ =1 theories [J] . Claudio Corianò, Antonio Costantini, Luigi Delle Rose, The journal of high energy physics . 2014,第6期

机译：超成形和规则和复合Dilaton（Add）Multiplet的频谱密度流量在 $n$$ mathcal {n} $$ = 1理论$
3. Spin(7)-manifolds as generalized connected sums and 3d $N = 1$ $$ mathcal{N}=1 $$ theories [J] . Andreas P. Braun, Sakura Sch?fer-Nameki The journal of high energy physics . 2018,第6期

机译：旋转（7） - valifolds作为概括的连接和和3d $n=1$$ mathcal {n} = 1 $$ 理论$
4. Stability condition of distributed delay systems based on the analytic solution of Lyapunov functional equations [C] . Young Soo Suh Decision and Control, 2000. Proceedings of the 39th IEEE Conference on . 2000

机译：基于Lyapunov函数方程解析解的分布时滞系统的稳定性条件。
5. Solution of a class of second order functional difference equations in electromagnetic diffraction theory. [D] . Legault, Stephane Roger. 2001

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6. Density Functional Theory Investigations on the Mechanism of Formation of Pa(V) Ion in Hydrous Solutions [O] . Jun Ma, Chuting Yang, Jun Han, 2019

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7. Total Stability and Uniform Asymptotic Stability for Delay Differential Equations (Qualitative Theory of Solutions in Functional Differential Equations) [O] . HINO YOSHIYUKI 1981

机译：时滞微分方程的总稳定性和一致渐近稳定性（泛函微分方程解的定性理论）
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

On the Stability and General Solution of a Sum Form Functional Equation Emerging from Information Theory

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