Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Jaiok Roh"'
Autor:
Soon-Mo Jung, Jaiok Roh
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18403-18416 (2024)
In 1982, Fickett attempted to prove the Hyers-Ulam stability of isometries defined on a bounded subset of $ \mathbb{R}^n $. In this paper, we applied an intuitive and efficient approach to prove the Hyers-Ulam stability of isometries defined on the b
Externí odkaz:
https://doaj.org/article/f57ec80d22c54d55bdd8bebbc9811d02
Publikováno v:
Mathematics, Vol 12, Iss 14, p 2274 (2024)
For the inner product space, we have Appolonius’ identity. From this identity, Park and Th. M. Rassias induced and investigated the quadratic functional equation of the Apollonius type. And Park and Th. M. Rassias first introduced an Apollonius-typ
Externí odkaz:
https://doaj.org/article/92ec36eef8594a1a853e87484e4fb38f
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-13 (2022)
Abstract Fickett proved the stability of isometries on bounded subsets of R n $\mathbb{R}^{n}$ for n ≥ 2 $n \ge 2$ . Jung then improved Fickett’s theorem for n ≥ 3 $n \ge 3$ . In this paper, we improve Fickett’s theorem for n = 2 $n = 2$ and
Externí odkaz:
https://doaj.org/article/81dfc884572b497ea2ef3d11abf5c2fe
Autor:
Yang-Hi Lee, Jaiok Roh
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
In this article, we study the stability of various forms for the general octic functional equation ∑i=099Ci−19−ifx+iy=0. We first find a special way of representing a given mapping as the sum of eight mappings. And by using the above representa
Externí odkaz:
https://doaj.org/article/ef47075a30cc4b58b9d3aa8c16d13a4c
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3173 (2023)
In this paper, we introduce a way of representing a given mapping as the sum of odd and even mappings. Then, using this representation, we investigate the stability of various forms of the following general nonic functional equation: ∑i=01010Ci(−
Externí odkaz:
https://doaj.org/article/73d20ade4c9449e782f556bbaed4d5eb
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping. A functio
Externí odkaz:
https://doaj.org/article/417e7e500a024ee0add6caf3394fe1bb
Publikováno v:
Journal of Function Spaces, Vol 2020 (2020)
In this paper, we will consider the generalized sextic functional equation ∑i=07 7Ci−17−ifx+iy=0. And by applying the fixed point theorem in the sense of Ca˘dariu and Radu, we will discuss the stability of the solutions for this functional equ
Externí odkaz:
https://doaj.org/article/e90515079b934d9d8c498afd1fed710d
Autor:
Jaiok Roh, Ick-Soon Chang
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-11 (2017)
Abstract We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then
Externí odkaz:
https://doaj.org/article/736c7c7f99344013996de9159ca6622d
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-7 (2016)
Abstract In this paper, we will obtain the optimal Hyers-Ulam’s constant for the first-order linear differential equations p ( t ) y ′ ( t ) − q ( t ) y ( t ) − r ( t ) = 0 $p(t)y'(t) - q(t)y(t) - r(t) = 0$ .
Externí odkaz:
https://doaj.org/article/b8be715ca5244c6e862f5a89df51967d
Autor:
Soon-Mo Jung, Jaiok Roh
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
In this paper, we will consider the stationary Stokes equations with the periodic boundary condition and we will study approximation property of the solutions by using the properties of the Fourier series. Finally, we will discuss that our estimation
Externí odkaz:
https://doaj.org/article/336a50a0d7c84b6ab33faf3d00a849a9