A relation between pointwise convergence of functions and convergence of functionals [PDF]
Proceedings of the American Mathematical Society, 1983 We show that if { f n
Brézis, Haïm, Lieb, Elliott H.
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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
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Almost Uniform Convergence Versus Pointwise Convergence [PDF]
Proceedings of the American Mathematical Society, 1960 In many an example of a function space whose topology is the topology of almost uniform convergence it is observed that the same topology is obtained in a natural way by considering pointwise convergence of extensions of the functions on a larger domain [1; 2].
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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 +11 more
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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
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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
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On pointwise a.e. convergence of multilinear operators [PDF]
, 2022 In this work we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) truncated homogeneous singular integral operators associated with $L^q$ functions on the sphere and (b) lacunary multiplier operators of ...
Honzík, Petr +3 more
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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 +3 more
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$\lambda$-Statistical Pointwise and Uniform Convergence of Sequences of Functions on Neutrosophic Normed Spaces [PDF]
Sahand Communications in Mathematical AnalysisThis 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 +3 more
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Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on {T}^2 [PDF]
, 2022 . We revisit a result from “Pointwise convergence of the Schr¨odinger flow, E. Compaan, R. Luc`a, G. Staffilani, International Mathematics Research Notices, 2021 (1), 596-647” regarding the pointwise convergence of solutions to the periodic cubic ...
Lucà, R.
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