Relatively uniform convergence of sequences of functions
نویسندگان
چکیده
منابع مشابه
Uniform convergence of spectral shift functions
The spectral shift function ξL(E) for a Schrödinger operator restricted to a finite cube of length L in multi-dimensional Euclidean space, with Dirichlet boundary conditions, counts the number of eigenvalues less than or equal to E ∈ R created by a perturbation potential V . We study the behavior of this function ξL(E) as L→∞ for the case of a compactly-supported and bounded potential V . After...
متن کاملStrong Convergence Theorems for Strongly Relatively Nonexpansive Sequences and Applications
The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our results to approximate solutions of the zero point problem for a maximal monotone operator and the fixed point problem for a relatively nonexpansive mapping.
متن کامل6: Sequences and Series of Functions, Convergence
Proposition 1.2. Let (X, d) be a metric space. Let (x)j=k be a sequence of elements of X. Let x, x′ be elements of X. Assume that the sequence (x)j=k converges to x with respect to d. Assume also that the sequence (x)j=k converges to x ′ with respect to d. Then x = x′. Proposition 1.3. Let a < b be real numbers, and let f : [a, b] → R be a function which is both continuous and strictly monotone...
متن کاملStatistical Convergence and Ideal Convergence for Sequences of Functions
Let I ⊂ P(N) stand for an ideal containing finite sets. We discuss various kinds of statistical convergence and I-convergence for sequences of functions with values in R or in a metric space. For real valued measurable functions defined on a measure space (X,M, μ), we obtain a statistical version of the Egorov theorem (when μ(X) < ∞). We show that, in its assertion, equi-statistical convergence...
متن کامل$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1914
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1914-1500972-9