[PDF][PDF] Functional inequalities associated with Jordan-von Neumann-type additive functional equations

C Park, YS Cho, MH Han - Journal of Inequalities and Applications, 2006 - Springer
Research Article Functional Inequalities Associated with Jordan-von Neumann-Type Additive
Functional Equations Page 1 Hindawi Publishing Corporation Journal of Inequalities and …

On inequalities associated with the Jordan-von Neumann functional equation

J Rätz - Aequationes mathematicae, 2003 - doc.rero.ch
Summary Summary.: For a group $(G,\cdot) $ and a real or complex inner product space
$(E,\langle\cdot,\cdot\rangle) $ with norm $\def\lr {[\!]}\lr.\lr $ we consider the functional …

ADDITIVE rho-FUNCTIONAL INEQUALITIES AND EQUATIONS

C Park - Journal of Mathematical Inequalities, 2015 - repository.hanyang.ac.kr
In this paper, we investigate the additive rho-functional inequalities parallel to f (Sigma (k)(j=
1) xj)-Sigma (k)(j= 1) f (xj) parallel to˂= parallel to rho (kf (Sigma (k)(j= 1) xj/k)-Sigma (k)(j= 1) …

ADDITIVE rho-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES

C Park - Journal of Mathematical Inequalities, 2015 - repository.hanyang.ac.kr
In this paper, we solve the additive rho-functional inequalities parallel to f (x+ y)-f (x)-f (y)
parallel to˂= parallel to rho (2f (x+ y/2)-f (x)-f (y)) parallel to parallel to 2f (x+ y)/2)-f (x)-f (y) …

Additive functional equations and partial multipliers in -algebras

C Park, MT Rassias - Revista de la Real Academia de Ciencias Exactas …, 2019 - Springer
In this paper, we solve the additive functional equations and where s is a fixed nonzero
complex number. Furthermore, we prove the Hyers–Ulam stability of the additive functional …

[图书][B] Stability of functional equations in Banach algebras

YJ Cho, C Park, TM Rassias, R Saadati, YJ Cho… - 2015 - Springer
Beginning around the year 1980, the topic of approximate homomorphisms and derivations
and their stability theory in the field of functional equations and inequalities was taken up by …

Isomorphisms and Derivations in Lie C*‐Algebras

C Park, JS An, J Cui - Abstract and Applied Analysis, 2007 - Wiley Online Library
Isomorphisms and Derivations in Lie C*‐Algebras Page 1 Hindawi Publishing Corporation
Abstract and Applied Analysis Volume 2007, Article ID 85737, 14 pages doi:10.1155/2007/85737 …

Generalized stability of functional inequalities with 3k-variables associated for Jordan-von Neumann-type additive functional equation

L Van An - Open Access Library Journal, 2023 - scirp.org
In this paper, we study to solve the Cauchy, Jensen and Cauchy-Jensen additive function
inequalities with 3k-variables related to Jordan-von Neumann type in the spirit of the …

Bi-Additive s-Functional Inequalities and Quasi-∗-Multipliers on Banach Algebras

C Park - Mathematics, 2018 - mdpi.com
Mathematics | Free Full-Text | Bi-Additive s-Functional Inequalities and Quasi-∗-Multipliers
on Banach Algebras Next Article in Journal Babenko’s Approach to Abel’s Integral …

Derivation-homomorphism functional inequalities

C Park - Journal of Mathematical Inequalities, 2021 - scholarworks.bwise.kr
In this paper, we introduce and solve the following additive-additive (s, t)-functional
inequality parallel to g (x+ y)-g (x)-g (y) parallel to+ parallel to h (x+ y)+ h (xy)-2h (x) parallel …