Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Bogeun Lee"'
Publikováno v:
Journal of Function Spaces, Vol 2016 (2016)
Let G be a uniquely 2-divisible commutative group and let f,g:G→C and σ:G→G be an involution. In this paper, generalizing the superstability of Lobačevskiǐ’s functional equation, we consider f(x+σy)/22-g(x)f(y)≤ψ(x) or ψ(y) for all x,y
Externí odkaz:
https://doaj.org/article/3d111a5835a84346bf5443a2b6d5963b
Autor:
Chang-Kwon Choi, Bogeun Lee
Publikováno v:
Results in Mathematics. 75
In this paper, using the Baire category theorem we investigate the Hyers–Ulam stability problem of mixed additive–quadratic and additive–Drygas functional equations $$\begin{aligned} 2f(x+y) + f(x-y) - 3f(x) -3f(y)&= 0,\\ 2f(x+y) + f(x-y) - 3f(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0be63984b42f7ca9bac253d4aa71059
https://doi.org/10.1007/s00025-020-1163-z
https://doi.org/10.1007/s00025-020-1163-z
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 101:569-581
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cec66583e162ae3f74fb4831b3bd8db8
https://doi.org/10.17654/ms101030569
https://doi.org/10.17654/ms101030569
Publikováno v:
Frontiers in Functional Equations and Analytic Inequalities ISBN: 9783030289492
Let X, Y be real Banach spaces, f : X → Y and \(\mathcal H\) be a subset of X such that \({\mathcal H}^c\) is of the first category. Using the Baire category theorem we prove the Ulam–Hyers stability of the linear functional equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9e5def49e944a2815e6d3473ce37832
https://doi.org/10.1007/978-3-030-28950-8_2
https://doi.org/10.1007/978-3-030-28950-8_2
Publikováno v:
Communications of the Korean Mathematical Society. 31:495-505
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05c32f569e19a14289ff4020606b0c96
https://doi.org/10.4134/ckms.c150171
https://doi.org/10.4134/ckms.c150171
Publikováno v:
Honam Mathematical Journal. 35:129-136
Let G be a commutative group which is 2-divisible, R the set of real numbers and f;g : G ! R. In this article, we investigate bounded solutions of the Pexider-exponential functional inequalityjf(x +y) f(x)g(y)j for all x;y2 G.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7172c9d61c28bf04f64c79ee1cc07d34
https://doi.org/10.5831/hmj.2013.35.2.129
https://doi.org/10.5831/hmj.2013.35.2.129