Zobrazeno 1 - 10
of 1 787
pro vyhledávání: '"normed space"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27998-28043 (2024)
By using the theory of analytic vectors and manifolds modeled on normed spaces, we provide a rigorous symplectic differential geometric approach to $ t $-dependent Schrödinger equations on separable (possibly infinite-dimensional) Hilbert spaces det
Externí odkaz:
https://doaj.org/article/63ad01f6bfbd4d46b8ed979d5d950eda
Autor:
Jae-Hyeong Bae, Won-Gil Park
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 7084-7094 (2024)
Let $ n $ be an integer greater than $ 1 $. In this paper, we obtained the stability of the multivariable Cauchy-Jensen functional equation $ nf\bigg(x_1+{\cdots}+x_n, \frac {y_1+{\cdots}+y_n}n\bigg) = \sum\limits_{1\le i, j\le n}f(x_i, y_j) $
Externí odkaz:
https://doaj.org/article/3c53b1ebf71f49a09563740a056608db
Autor:
Hsien-Chung Wu
Publikováno v:
Mathematics, Vol 12, Iss 23, p 3660 (2024)
The family F(U) of all fuzzy sets in a normed space cannot be a vector space. This deficiency affects its application to practical problems. The topics of functional analysis and nonlinear analysis in mathematics are based on vector spaces. Since the
Externí odkaz:
https://doaj.org/article/7c4fffac5aae4b7c84b8ee7bb95cd9af
Autor:
Jawad Kadhim K. Al-Delfi
Publikováno v:
Baghdad Science Journal, Vol 21, Iss 6 (2024)
A concept of a dislocated quasi-normed space is introduced in this paper which is a spatial case of the concept of a quasi-normed space and related to the notion of a dislocated quasi-metric space. Its relationship with other concepts is given by ill
Externí odkaz:
https://doaj.org/article/06536fb67a38439d943325ddb0d86964
Publikováno v:
Neutrosophic Sets and Systems, Vol 61, Pp 275-288 (2023)
In this current paper, our objective is to establish neutrosophic n-normed linear space and introduce the convergence structure within these spaces. We also define Cauchy sequences, and obtained the relations between these notions.
Externí odkaz:
https://doaj.org/article/0c5ec73a5a1244918043faa94c78f25a
Autor:
P. Jenifer, M. Jeyaraman
Publikováno v:
Neutrosophic Sets and Systems, Vol 60, Pp 195-202 (2023)
We define Cesaro summability in a Neutrosophic 𝓃 -Normed Linear Space in this article. In a Neutrosophic 𝓃-Normed Linear Space, we show the Cesaro summability method to be regular, albeit this does not imply typical convergence in general. We a
Externí odkaz:
https://doaj.org/article/b3834d12c2514087a8e110c0cd99752d
Autor:
Bae Jae-Hyeong, Park Won-Gil
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 691-698 (2023)
In this study, we obtained the stability of the multi-variable bi-Jensen-type functional equation: n2fx1+⋯+xnn,y1+⋯+ynn=∑i=1n∑j=1nf(xi,yj).{n}^{2}f\left(\frac{{x}_{1}+\cdots +{x}_{n}}{n},\frac{{y}_{1}+\cdots +{y}_{n}}{n}\right)=\mathop{\sum }
Externí odkaz:
https://doaj.org/article/4ab9ab81aba744419f8e1b189207d29e