On a Functional Equation Related to Information Theory

On a Functional Equation Related to Information Theory

The general solutions of a functional equation, without imposing any regularity condition on the mappings appearing in it, have been obtained. One solution of this functional equation is useful from information-theoretic point of view.

Bibliographic Details
Main Authors:	Prem Nath, Dhiraj Kumar Singh
Format:	Article
Language:	English
Published:	Accademia Piceno Aprutina dei Velati 2017-07-01
Series:	Ratio Mathematica
Subjects:	Functional equation, additive mapping, multiplicative mapping
Online Access:	http://eiris.it/ojs/index.php/ratiomathematica/article/view/332

Similar Items

The general solutions of a functional equation related to information theory
by: Prem Nath, et al.
Published: (2005-06-01)

Generalized Hyers-Ulam Stability of the Pexider Functional Equation
by: Yang-Hi Lee, et al.
Published: (2019-03-01)

On the General and Measurable Solutions of some Functional Equations
by: Nath Prem, et al.
Published: (2018-09-01)

On a sum form functional equation emerging from statistics and its applications
by: Dhiraj Kumar Singh, Shveta Grover
Published: (2021-06-01)

The stability of functional equation min{<it>f</it>(<it>x </it>+ <it>y</it>), <it>f</it>(<it>x </it>- <it>y</it>)} = |<it>f</it>(<it>x</it>) - <it>f</it>(<it>y</it>)|
by: Przebieracz Barbara
Published: (2011-01-01)

An integral equation related to the Reimann Mapping Function /
by: 260710 Mohamad Rashidi Md. Razali, et al.
Published: (1996)

Fuzzy stability of a mixed type functional equation
by: Jin Sun, et al.
Published: (2011-01-01)

On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
by: Yang-Hi Lee
Published: (2019-06-01)

A Pexider system of additive functional equations in Banach algebras
by: Mehdi Dehghanian, et al.
Published: (2024-02-01)

Generalized Hyers–Ulam Stability of the Additive Functional Equation
by: Yang-Hi Lee, et al.
Published: (2019-06-01)

Symmetry of Syzygies of a System of Functional Equations Defining a Ring Homomorphism
by: Roman Ger
Published: (2021-12-01)

A boundary integral equation related to the Riemann map and the Riemann problem /
by: Ali Hassan Mohd. Murid, et al.
Published: (2003)

Multiplicative Brownian Motion Stabilizes the Exact Stochastic Solutions of the Davey–Stewartson Equations
by: Farah M. Al-Askar, et al.
Published: (2022-10-01)

Stability of the Popoviciu type functional equations on groups
by: Małgorzata Chudziak
Published: (2011-01-01)

On sequences having third order recurrence relations/
by: 408408 Pethe, S.
Published: (1984)

Approximating Solutions of Matrix Equations via Fixed Point Techniques
by: Rahul Shukla, et al.
Published: (2021-10-01)

Boundary integral equation approach for numerical conformal mapping /
by: Ali Hassan Mohd. Murid
Published: (1997)

Ulam stability of two fuzzy number-valued functional equations
by: Zhenyu Jin, et al.
Published: (2020-07-01)

A numerical comparison of integral equations of the first and second kind for conformal mapping /
by: 194199 Hayes, John K., et al.

A Parametric Functional Equation Originating from Number Theory
by: Mouzoun Aziz, et al.
Published: (2022-03-01)

An integral equation method for conformal mapping of doubly connected regions via the Kerzman-Stein and the Neumann Kernels /
by: 250395 Nurul Akmal Mohamed, et al.
Published: (2007)

An integral equation method for conformal mapping of doubly connected regions involving the Neumann kernel [UTM article journal] /
by: 338045 Ali Hassan Mohamed Murid, et al.

On applications and theory of functional equations /
by: 293665 Aczel, J.
Published: (1969)

Optical solitary solutions for the stochastic Sasa–Satsuma equation
by: Farah M. Al-Askar
Published: (2023-09-01)

Ulam Stability of a Functional Equation in Various Normed Spaces
by: Krzysztof Ciepliński
Published: (2020-07-01)

Multiple solutions of nonlinear elliptic functional differential equations
by: László Simon
Published: (2018-06-01)

Riemann mapping function : some theories and construction /
by: 182721 Syahirbanun Isa
Published: (2003)

Computation with recurrence relations /
by: 345412 Wimp, Jet
Published: (1984)

Functional equations: history, applications and theory/
by: Aczel, J.
Published: (1984)

Tricomi problem and integral equations
by: N. B. Pleshchinskii
Published: (2024-04-01)

Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation
by: Ryuji Kajikiya, et al.
Published: (2017-04-01)

On the convergence of a modified superquadratic method for generalized equations
by: Md. Zulfiker Ali, et al.
Published: (2018-09-01)

Finding the Fixed Points Inside Large Mapping Sets: Integral Equations
by: Theodore A. Burton, et al.
Published: (2017-08-01)

Riemann mapping function [diskette] : some theories and constructions /
by: 182721 Syahirbanun Isa
Published: (2003)

Application of aggregated control functions for approximating C-Hilfer fractional differential equations
by: Safoura Rezaei Aderyani, et al.
Published: (2023-10-01)

Stability of Bi-Additive Mappings and Bi-Jensen Mappings
by: Jae-Hyeong Bae, et al.
Published: (2021-06-01)

Properties of solution diagrams for bistable equations
by: Pavel Drabek, et al.
Published: (2015-06-01)

Stability analysis of a certain class of difference equations by using KAM theory
by: Senada Kalabušić, et al.
Published: (2019-05-01)

A Variant of Jensen’s Functional Equation on Semigroups
by: Fadli Brahim, et al.
Published: (2016-12-01)

A system of additive functional equations in complex Banach algebras
by: Paokanta Siriluk, et al.
Published: (2023-02-01)