Results 1 to 10 of about 1,225,050 (328)

Pointwise convergence of sequential Schrödinger means [PDF]

open access: yesJournal of Inequalities and Applications, 2023
We study pointwise convergence of the fractional Schrödinger means along sequences t n $t_{n}$ that converge to zero. Our main result is that bounds on the maximal function sup n | e i t n ( − Δ ) α / 2 f | $\sup_{n} |e^{it_{n}(-\Delta )^{\alpha /2}} f| $
Chu-Hee Cho   +3 more
doaj   +4 more sources

Pointwise density topology

open access: yesOpen Mathematics, 2015
The paper presents a new type of density topology on the real line generated by the pointwise convergence, similarly to the classical density topology which is generated by the convergence in measure.
Górajska Magdalena
doaj   +2 more sources

On ρ−statistical convergence of order α of sequences of function [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2022
In this study, by using definition of ρ-statistical convergence which was defined by Çakallı, we introduce the concepts of pointwise wαρ (f )-summability, pointwise ρ-statistical convergence of order α and uniform ρ-statistical convergence of order α ...
Nazlım Deniz Aral   +2 more
doaj   +1 more source

Approximation properties of multivariate exponential sampling series

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous
S. Kurşun   +3 more
doaj   +1 more source

Nonparametric Pointwise Estimation for a Regression Model with Multiplicative Noise

open access: yesJournal of Function Spaces, 2021
In this paper, we consider a general nonparametric regression estimation model with the feature of having multiplicative noise. We propose a linear estimator and nonlinear estimator by wavelet method.
Jia Chen, Junke Kou
doaj   +1 more source

Pointwise Wavelet Estimations for a Regression Model in Local Hölder Space

open access: yesAxioms, 2022
This paper considers an unknown functional estimation problem in a regression model with multiplicative and additive noise. A linear wavelet estimator is first constructed by a wavelet projection operator.
Junke Kou, Qinmei Huang, Huijun Guo
doaj   +1 more source

A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE

open access: yesПроблемы анализа, 2022
In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
doaj   +1 more source

A note on Hausdorff convergence of pseudospectra [PDF]

open access: yesOpuscula Mathematica, 2022
For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in terms of pointwise convergence of appropriate spectral quantities.
Marko Lindner, Dennis Schmeckpeper
doaj   +1 more source

Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin

open access: yesResults in Physics, 2021
Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition.
Omar Abu Arqub   +4 more
doaj   +1 more source

Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation

open access: yesBoundary Value Problems, 2020
This article concerns the Cauchy problem for the fractional semilinear pseudo-parabolic equation. Through the Green’s function method, we prove the pointwise convergence rate of the solution.
Jiazhuo Cheng, Shaomei Fang
doaj   +1 more source

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