Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Hark-Mahn Kim"'
Publikováno v:
Mathematics, Vol 10, Iss 24, p 4754 (2022)
We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These r
Externí odkaz:
https://doaj.org/article/e77736d4fbd64faa806031485d3de86d
Autor:
Hark-Mahn Kim, Hwan-Yong Shin
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-13 (2017)
Abstract The purpose of this paper is to obtain refined stability results and alternative stability results for additive and quadratic functional equations using direct method in modular spaces.
Externí odkaz:
https://doaj.org/article/6749951288164489890e6603a072fdd4
Publikováno v:
Journal of Function Spaces, Vol 2019 (2019)
The purpose of this paper is to obtain the stability theorems of quartic ⁎-derivations associated with the quartic functional equation f(3x-y)+f(x+y)+6f(x-y)=4f(2x-y)+4f(y)+24f(x) on Banach ⁎-algebras.
Externí odkaz:
https://doaj.org/article/266fcaacbb774b4ea4faebbf230a2257
Autor:
Hark-Mahn Kim, Hwan-Yong Shin
Publikováno v:
Mathematics, Vol 8, Iss 9, p 1630 (2020)
In this paper, we find the solution of the following quadratic functional equation n∑1≤i
Externí odkaz:
https://doaj.org/article/c2f9eec7e32a430e9cb9adbb8738774f
Autor:
Hark-Mahn Kim, Hwan-Yong Shin
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
In this article, we present generalized Hyers–Ulam stability results of a cubic functional equation associated with an approximate cubic Lie derivations on convex modular algebras χρ with Δ2-condition on the convex modular functional ρ.
Externí odkaz:
https://doaj.org/article/ae66a7442bf84419a2f17c847428c790
Autor:
Hark-Mahn Kim, Juri Lee
Publikováno v:
Journal of Function Spaces, Vol 2014 (2014)
We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1pf(xj)+t∑j=1df(yj), where r
Externí odkaz:
https://doaj.org/article/744ec17843874cd28e9f8c4273e0f022
Autor:
Hark-Mahn Kim, Juri Lee
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We consider general solution and the generalized Hyers-Ulam stability of an Euler-Lagrange quadratic functional equation in fuzzy Banach spaces, where , are nonzero rational numbers with , .
Externí odkaz:
https://doaj.org/article/a62bd68fdb59459e869f995742eacde5
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We establish the general solution of the functional inequality and then investigate the generalized Hyers-Ulam stability of this inequality in Banach spaces and in non-Archimedean Banach spaces.
Externí odkaz:
https://doaj.org/article/25cc9174834649cba72ea3e6bb26ce48
Autor:
Hark-Mahn Kim, Min-Young Kim
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach sp
Externí odkaz:
https://doaj.org/article/cb4e91e6a6834978b80d81ef1d85b6d0
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We prove the Hyers-Ulam stability of the following Jensen functional inequality ∥f((x-y)/n+z)+f((y-z)/n+x)+f((z-x)/n+y)∥≤∥f((x+y+z)∥ in p-Banach spaces for any fixed nonzero integer n.
Externí odkaz:
https://doaj.org/article/f4bfaa86bc2b42ea84ff0bdb92b4aef5