Results 31 to 40 of about 601 (125)
Notes on stability of the generalized gamma functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 57-63, 2002., 2002 The Hyers‐Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x + p) = a(x)g(x) under some conditions which involve convergence of complicated series. In this note, those conditions are simplified to be checked easily and more interesting examples other than the classical gamma functional equation ...
Gwang Hui Kim, Bing Xu, Weinian Zhang
wiley +1 more source
Euler-Lagrange radical functional equations with solution and stability
, 2020 In this article, we introduce the generalized Euler-Lagrange radical functional equations of type sextic and quintic. Also, we obtain their general solution and investigate the generalized Hyers-Ulam-Rassias stability in modular spaces using fixed point ...
Murali Ramdoss +2 more
semanticscholar +1 more source
On the stability of the quadratic mapping in normed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 217-229, 2001., 2001 The Hyers‐Ulam stability, the Hyers‐Ulam‐Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x + y) + f(x − y) = 2f(x) + 2f(y), f(x + y + z) + f(x − y) + f(y − z) + f(z − x) = 3f(x) + 3f(y) + 3f(z), f(x + y + z) + f(x) + f(y) + f(z) = f(x + y) + f(y + z) + f(z + x) are ...
Gwang Hui Kim
wiley +1 more source
On the Orthogonal Stability of the Pexiderized Quadratic Equation
, 2005 The Hyers--Ulam stability of the conditional quadratic functional equation of Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is a symmetric orthogonality in the sense of Ratz and f is odd.Comment: 10 pages, Latex; Changed ...
Aczél J. +12 more
core +2 more sources
Stability of the Popoviciu type functional equations on groups [PDF]
, 2011 We consider the stability problem for a class of functional equations related to the Popoviciu ...
Małgorzata Chudziak
core +1 more source
On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces
, 2015 4, pp. 359-375, December 2015.Universidad Cat´olica del NorteAntofagasta - ChileAbstractIn this paper, we establish some hyperstability results of the fol-lowing Cauchy-Jensen functional equationf(x+y2+z)+f(x−y2+z)=f(x)+2f(z)in Banach spaces.Subjclass ...
Iz-iddine El-Fassi, S. Kabbaj
semanticscholar +1 more source
A functional equation characterizing cubic polynomials and its stability
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 301-307, 2001., 2001 We study the generalized Hyers‐Ulam stability of the functional equation f[x1, x2, x3] = h(x1 + x2 + x3).
Soon-Mo Jung, Prasanna K. Sahoo
wiley +1 more source
On the generalized Hyers-Ulam-Rassias stability problem of radical functional equations
Journal of Inequalities and Applications, 2012 In this paper, the generalized Hyers-Ulam-Rassias stability problem of radical quadratic and radical quartic functional equations in quasi-β-Banach spaces and then the stability by using subadditive and subquadratic functions for radical functional ...
S. Kim, Y. Cho, M. Eshaghi Gordji
semanticscholar +1 more source
On the stability of generalized gamma functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 513-520, 2000., 2000 We obtain the Hyers‐Ulam stability and modified Hyers‐Ulam stability for the equations of the form g(x + p) = φ(x)g(x) in the following settings: |g(x + p) − φ(x)g(x) | ≤ δ, | g(x + p) − φ(x)g(x) | ≤ ϕ(x), | (g(x + p)/φ(x)g(x)) − 1 | ≤ ψ(x). As a consequence we obtain the stability theorems for the gamma functional equation.
Gwang Hui Kim
wiley +1 more source
Superstability of functional equations related to spherical functions
Open Mathematics, 2017 In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
doaj +1 more source