Zobrazeno 1 - 10
of 129
pro vyhledávání: '"2-normed spaces"'
Publikováno v:
Communications in Advanced Mathematical Sciences, Vol 5, Iss 3, Pp 150-160 (2022)
In this work, we discuss various types of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions. Also, we introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\math
Externí odkaz:
https://doaj.org/article/60a0c7157039416e9487191824870c71
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1905-1919 (2021)
In this paper, we solve the additive $ \rho $-functional inequalities:where $ \rho $ is a fixed non-Archimedean number with $ |\rho| < 1 $. More precisely, we investigate the solutions of these inequalities in non-Archimedean $ 2 $-normed spaces, and
Externí odkaz:
https://doaj.org/article/f531944163634646a2d4ff714932d0f4
Akademický článek
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Autor:
Sevim Yegül, Erdinç Dündar
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 2, Iss 3, Pp 130-137 (2019)
In this study, we introduced the concepts of $\mathcal{I}_2$-convergence and $\mathcal{I}_2^*$-convergence of double sequences of functions in $2$-normed space. Also, were studied some properties about these concepts and investigated relationships be
Externí odkaz:
https://doaj.org/article/7c6207872b4b402989da8f7cfa49359f
Publikováno v:
Filomat, 2016 Jan 01. 30(5), 1263-1272.
Externí odkaz:
https://www.jstor.org/stable/24898701
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 24, Iss 2, Pp 244-249 (2016)
In this paper, we wish to define a 2-inner product, non-standard, possibly with weights, on ℓp. For this purpose, we aim to obtain a different 2-norm ‖., .‖2,v,w, which is not equivalent to the usual 2-norm ‖., .‖p on ℓp (except with the
Externí odkaz:
https://doaj.org/article/7dc1389054894f25a64762c43b7b636b
Publikováno v:
Advances in the Theory of Nonlinear Analysis and its Applications, Vol 5, Iss 4, Pp 454-466 (2021)
Volume: 5, Issue: 4 454-466
Advances in the Theory of Nonlinear Analysis and its Application
Volume: 5, Issue: 4 454-466
Advances in the Theory of Nonlinear Analysis and its Application
In this paper, we have introduced the notions of strong and weak convergences in 2-probabilistic normed spaces (2-PN spaces) and established some of its properties. Later, we have defined the strong and weak boundedness of a linear map between two 2-
Publikováno v:
Volume: 5, Issue: 3 150-160
Communications in Advanced Mathematical Sciences
Communications in Advanced Mathematical Sciences
In this work, we discuss various kinds of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions and introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\mathcal{I}
Autor:
Sever, Yurdal, Dündar, Erdinç
Publikováno v:
Filomat, 2014 Jan 01. 28(5), 907-915.
Externí odkaz:
https://www.jstor.org/stable/24896856
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1905-1919 (2021)
In this paper, we solve the additive $ \rho $-functional inequalities: $ \begin{align*} \|f(x+y)-f(x)-f(y)\| \leq \|\rho(2f(\frac{x+y}{2})-f(x)-f(y))\|, \\ \|2f(\frac{x+y}{2})-f(x)-f(y)\| \leq \|\rho(f(x+y)-f(x)-f(y))\|, \end{align*} $ where $ \rho $