Results 41 to 50 of about 1,225,050 (328)

Convergence of generalized sampling series in weighted spaces

Demonstratio Mathematica, 2022
The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces.
Acar Tuncer, Alagöz Osman, Aral Ali, Costarelli Danilo, Turgay Metin, Vinti Gianluca   +5 more
doaj   +1 more source

Pointwise convergence of some multiple ergodic averages [PDF]

, 2016
We show that for every ergodic system $(X,\mu,T_1,\ldots,T_d)$ with commuting transformations, the average \[\frac{1}{N^{d+1}} \sum_{0\leq n_1,\ldots,n_d \leq N-1} \sum_{0\leq n\leq N-1} f_1(T_1^n \prod_{j=1}^d T_j^{n_j}x)f_2(T_2^n \prod_{j=1}^d T_j^{n_j}
S. Donoso, Wenbo Sun
semanticscholar   +1 more source

Existence and Convergence Theorems of Best Proximity Points

Journal of Applied Mathematics, 2013
The aim of this paper is to prove some best proximity point theorems for new classes of cyclic mappings, called pointwise cyclic orbital contractions and asymptotic pointwise cyclic orbital contractions.
Moosa Gabeleh, Naseer Shahzad
doaj   +1 more source

A Survey on the Study of Generalized Schrödinger Operators along Curves

Mathematics, 2022
In this survey, we review the historical development for the Carleson problem about the a.e. pointwise convergence in five aspects: the a.e. convergence for generalized Schrödinger operators along vertical lines; a.e.
Wenjuan Li, Huiju Wang, Qingying Xue
doaj   +1 more source

Spaces not distinguishing pointwise and $\mathcal{I}$-quasinormal convergence [PDF]

, 2007
summary:In this paper we extend the notion of quasinormal convergence via ideals and consider the notion of $\mathcal{I}$-quasinormal convergence. We then introduce the notion of $\mathcal{I}QN (\mathcal{I}wQN)$ space as a topological space in which ...
Komisarski, Andrzej, Georgiou, Dimitrios N., Balcerzak, Marek, Ghosal, Sanjoy, Chandra, Debraj, Dems, Katarzyna,  Georgiou Dimitrios N., Özçağ Selma, Megaritis, Athanasios C., Özçağ, Selma, Megaritis Athanasios C., Das, Pratulananda   +11 more
core   +1 more source

Strict and pointwise convergence of BV functions in metric spaces [PDF]

, 2016
Consider a metric space X that is equipped with a doubling measure and supports a Poincare inequality. We show that if u i → u strictly in BV ( X ) , i.e. if u i → u in L 1 ( X ) and ‖ D u i ‖ ( X ) → ‖ D u ‖ ( X ) , then for a subsequence (not relabeled)
Panu Lahti
semanticscholar   +1 more source

Pointwise convergence of Fejer type means

Tohoku Mathematical Journal, 1997
Let \(P\) be an \(n\)-dimensional compact, convex polyhedron in \(\mathbb{R}^n\) containing the origin in its interior. The authors define the \(n\)-dimensional polyhedral Fejér kernel either as the arithmetic mean of the Dirichlet kernel, or as (\(1/\text{card}(NP\cap \mathbb{Z}^n)\) times) the square of the Dirichlet kernel.
Brandolini, L, Travaglini, G
openaire   +2 more sources

Pointwise-in-time a posteriori error control for time-fractional parabolic equations

, 2021
For time-fractional parabolic equations with a Caputo time derivative of order α ∈ (0, 1), we give pointwise-in-time a posteriori error bounds in the spatial L2 and L∞ norms.
NATALIA KOPTEVA (12353197), Kopteva, Natalia   +1 more
core   +1 more source

λ-Statistical Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces

Journal of Function Spaces and Applications, 2012
We study λ-statistically convergent sequences of functions in intuitionistic fuzzy normed spaces. We define concept of λ-statistical pointwise convergence and λ-statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic ...
Vatan Karakaya, Necip Şimşek, Müzeyyen Ertürk, Faik Gürsoy   +3 more
doaj   +1 more source

$\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces [PDF]

Sahand Communications in Mathematical Analysis
This insightful article examines the $\lambda$-statistical convergence of function sequences within neutrosophic norm spaces. It introduces novel concepts such as $\lambda$-statistical pointwise convergence and $\lambda$-statistical uniform convergence ...
Hari Shankar, Ayaz Ahmad, Chandan Chaurasiya, Ayhan Esi   +3 more
doaj   +1 more source