Results 11 to 20 of about 81 (75)
Approximate *-derivations and approximate quadratic *-derivations on
Journal of Inequalities and Applications, 2011 In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
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On the stability of pexider functional equation in non-archimedean spaces
Journal of Inequalities and Applications, 2011 In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed +2 more
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On the Ulam-Hyers stability of a quadratic functional equation [PDF]
Journal of Inequalities and Applications, 2011 The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil +2 more
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Alienation of two general linear functional equations [PDF]
, 2020 We study the alienation problem for two general linear equations i.e. we compare the solutions of the system of equations n i=1 αif(pix + qiy) = 0 m j=1 βjg(sjx + tjy) = 0 with the solutions of the single equation n i=1 αif(pix + qiy) = m
Tomasz Szostok, Szostok, Tomasz
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New Stability Results of Multiplicative Inverse Quartic Functional Equations
, 2021 The purpose of this investigation is to introduce different forms of multiplicative inverse functional equations, to solve them and to establish the stability results of them in the framework of matrix normed spaces.
et. al., Beri V. Senthil Kumar,
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The additive approximation on a four‐variate Jensen‐type operator equation
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 50, Page 3171-3187, 2003., 2003 We study the Hyers‐Ulam stability theory of a four‐variate Jensen‐type functional equation by considering the approximate remainder ϕ and obtain the corresponding error formulas. We bring to light the close relation between the β‐homogeneity of the norm on F∗‐spaces and the approximate remainder ϕ, where we allow p, q, r, and s to be different in ...
Jian Wang
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Comment on "on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach" [Bodaghi et al., j. inequal. appl. 2011, article id 957541 (2011)] [PDF]
, 2011 Bodaghi et al. [On the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach. J. Inequal. Appl. 2011, Article ID 957541, 9pp.
Dong Yun Shin +6 more
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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
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Some discrete Poincaré‐type inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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Fuzzy stabilities of a new hexic functional equation in various spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space ...
Dutta Hemen +2 more
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