Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Abbas Najati"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-13 (2024)
Abstract In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on
Externí odkaz:
https://doaj.org/article/8841cc0cdbb44b9897dc652dc6a9002b
Autor:
Mohammad Bagher Moghimi, Abbas Najati
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-12 (2022)
Abstract In this paper we give some hyperstability and stability results for the Cauchy and Jensen functional equations on restricted domains. We provide a simple and short proof for Brzdȩk’s result concerning a hyperstability result for the Cauc
Externí odkaz:
https://doaj.org/article/e507a6db537c40af85b72b397e1f195f
Autor:
Arumugam Ponmana Selvan, Abbas Najati
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-11 (2022)
Abstract The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-ty
Externí odkaz:
https://doaj.org/article/e7dc4ce41e0e4b3dba3fa5399d365a59
Publikováno v:
AIMS Mathematics, Vol 7, Iss 3, Pp 3379-3394 (2022)
In this paper, we investigate the Hyers-Ulam stability of additive and Fréchet functional equations on restricted domains. We improve the bounds and thus the results obtained by S. M. Jung and J. M. Rassias. As a consequence, we obtain asymptotic be
Externí odkaz:
https://doaj.org/article/44238c82007a4229888a5cd3c107b745
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 7001-7011 (2022)
In this paper, we investigate the Hyers-Ulam stability problem of the following functional equation $ f(x+y)+g(x-y) = h(x)+k(y), $ on an unbounded restricted domain, which generalizes some of the results already obtained by other authors (for e
Externí odkaz:
https://doaj.org/article/bf96652151b649ffb8a3eb4ed55a6d06
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-17 (2021)
Abstract The aim of this paper is to prove the superstability of the following functional equations: f ( P ( x , y ) ) = g ( x ) h ( y ) , f ( x + y ) = g ( x ) h ( y ) . $$\begin{aligned}& f \bigl(P(x,y) \bigr)= g(x)h(y), \\& f(x+y)=g(x)h(y). \end{a
Externí odkaz:
https://doaj.org/article/827a542cb1574370be172fb4c0dd7be3
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 18, Iss 1, Pp 35-46 (2021)
In this paper, we have improved some of the results in [C. Choi and B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math. 75 no. 1 (2020), Paper No. 38]. Indeed, we investigate the Hyers-Ulam stability
Externí odkaz:
https://doaj.org/article/9bd33f178d914fa5a94851106dfd8468
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract In this paper, we introduce the functional equations f ( 2 x − y ) + f ( x + 2 y ) = 5 [ f ( x ) + f ( y ) ] , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + 4 f ( y ) + f ( − y ) , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + f ( 2 y )
Externí odkaz:
https://doaj.org/article/3e57c7bf650143ac97b871016235890a
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7161-7174 (2020)
In this paper, we acquire the general solution of the generalized quadratic functional equation \[ \begin{aligned} \sum_{1 \leq a < b < c \leq m}\varphi\left(r_{a}+r_{b}+r_{c}\right)&=(m-2)\sum_{1\leq a < b\leq m}\varphi\left(r_{a}+r_{b}\right) \\ &\
Externí odkaz:
https://doaj.org/article/899a6ba5541e425b8dc056058c7e8360
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract First we investigate the Hyers–Ulam stability of the Cauchy functional equation for mappings from bounded (unbounded) intervals into Banach spaces. Then we study the Hyers–Ulam stability of the functional equation f ( x y ) = x g ( y ) +
Externí odkaz:
https://doaj.org/article/e93ba9f8599344539c6986e128200c65