Results 21 to 30 of about 4,528,914 (107)
Stability of the Pexider functional equation [PDF]
, 2010 A stability result for the Pexider equation will be derived from a stability theorem published in [9] for the Cauchy functional equation. Then we discuss the quality of some constants occuring in this context; as a model case we consider functions ...
Volkmann, Peter +2 more
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New Pexiderizations of Drygas’ Functional Equation on Abelian Semigroups
Annales Mathematicae Silesianae, 2023 Let (S, +) be an abelian semigroup, let (H, +) be an abelian group which is uniquely 2-divisible, and let ϕ be an endomorphism of S. We find the solutions f, h : S → H of each of the functional equations f(x+y)+f(x+ϕ(y))=h(x)+f(y)+f∘ϕ(y), x,y∈S,f(x+y)+f ...
Aissi Youssef, Zeglami Driss
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Approximate 2-dimensional Pexider Quadratic Functional Equations In Fuzzy Normed Spaces and Topological Vector Space [PDF]
, 2021 In this paper, we prove the Hyers-Ulam stability of the 2-dimensional Pexider quadratic functional equation in fuzzy normed spaces. Moreover, we prove the Hyers-Ulam stability of this functional equation, where f, g are functions defined on an abelian ...
Ebadian, Ali, Abolfathi, Mohammad A.
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Applying Fixed Point Techniques to Stability Problems in Intuitionistic Fuzzy Banach Spaces
Mathematics, 2020 In this paper we investigate Hyers-Ulam-Rassias stability of certain nonlinear functional equations. Considerations of such stabilities in different branches of mathematics have been very extensive.
P. Saha +4 more
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Quantitative Economics, Volume 9, Issue 2, Page 865-901, July 2018., 2018 Our new approach to mobility measurement involves separating out the valuation of positions in terms of individual status (using income, social rank, or other criteria) from the issue of movement between positions. The quantification of movement is addressed using a general concept of distance between positions and a parsimonious set of axioms that ...
Frank A. Cowell, Emmanuel Flachaire
wiley +1 more source
On the Stability of Quadratic Functional Equations in F‐Spaces
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 The Hyers‐Ulam‐Rassias stability of quadratic functional equation f(2x + y) + f(2x − y) = f(x + y) + f(x − y) + 6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x + y) + f(x − y) = 2g(x) + 2h(y) in F‐spaces are proved.
Xiuzhong Yang, Krzysztof Ciepliński
wiley +1 more source
A Pexider difference associated to a Pexider quartic functional equation in topological vector spaces [PDF]
Involve, a Journal of Mathematics, 2013 Let [math] be an Abelian group and [math] be a sequentially complete Hausdorff topological vector space over the field [math] of rational numbers. We deal with a Pexider difference ¶ 2 f ( 2 x + y ) + 2 f ( 2 x − y ) − 2 g ( x + y ) − 2 g ( x − y ) − 1 2 g ( x ) + 3 g ( y ) , ¶ where [math] and [math] are mappings defined on
Ostadbashi, Saeid +3 more
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The stability of the Pexider equation [PDF]
, 1991 A stability theorem for the Pexider functional equation (1) is proved. It is an analogue of the classical theorem of Hyers [5] relating to the stability of the Cauchy functional ...
Nikodem, Kazimierz
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On a Stability of Logarithmic‐Type Functional Equation in Schwartz Distributions
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We prove the Hyers‐Ulam stability of the logarithmic functional equation of Heuvers and Kannappan f(x + y) − g(xy) − h(1/x + 1/y) = 0, x, y > 0, in both classical and distributional senses. As a classical sense, the Hyers‐Ulam stability of the inequality |f(x + y) − g(xy) − h(1/x + 1/y)| ≤ ϵ, x, y > 0 will be proved, where f, g, h : ℝ+ → ℂ.
Jae-Young Chung, Abdelghani Bellouquid
wiley +1 more source
On restricting Cauchy–Pexider functional equations to submanifolds [PDF]
Aequationes mathematicae, 2012 The author considers the restricted Cauchy-Pexider functional equation \(f(x)g(y)=h(x+y)\) for complex-valued functions on subsets of Euclidean spaces. The functions are assumed to be measurable and non-vanishing almost everywhere. The main result is that if the functional equation is satisfied almost everywhere on a hypersurface which is nowhere flat ...
openaire +1 more source