Results 11 to 20 of about 51 (51)

A note on the degree of approximation of functions belonging to certain Lipschitz class by almost Riesz means

, 2018
The problem of obtaining degree of approximation for the 2π−periodic functions in the weighted Lipschitz class W (Lp, ξ(t)) (p ≥ 1) by Riesz means of the Fourier series have been studied by various investigators under Lp−norm.
RATHORE, Arti, SINGH, Uaday
core   +1 more source

A mathematical theory of super-resolution and two-point resolution

Forum of Mathematics, Sigma
This paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first major contribution is the introduction of two location-amplitude identities
Ping Liu, Habib Ammari
doaj   +1 more source

Almost periodic functions on time scales and their properties

Open Mathematics
In this article, we first propose a concept of almost periodic functions on arbitrary time scales, which is defined by trigonometric polynomial approximations with respect to supremum norm, and study some basic properties of these kinds of functions ...
Li Yongkun, Huang Xiaoli
doaj   +1 more source

Equivalence Between K-functionals Based on Continuous Linear Transforms [PDF]

, 2007
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function.
Draganov, Borislav, Ivanov, Kamen
core  

Weyl almost periodic functions on time scales and their Fourier series

Demonstratio Mathematica
In this paper, firstly, we propose a concept of Weyl almost periodic functions on time scales by trigonometric polynomial approximation, and study some basic properties of Weyl almost periodic functions on time scales.
Li Yongkun, Huang Xiaoli
doaj   +1 more source

Optimal Bell Functions for Biorthogonal Local Trigonometric Bases

, 1997
A general approach for biorthogononal local trigonometric bases in the twooverlapping setting was given by Chui and Shi. In this paper, we give error estimates for the approximation with such basis functions.
Kai Bittner
core  

Biorthogonal Smooth Local Trigonometric Bases

, 1994
In this paper we discuss smooth local trigonometric bases. We present two generalizations of the orthogonal basis of Malvar and Coifman-Meyer: biorthogonal and equal parity bases.
Björn Jawerth, Wim Sweldens
core  

Embracing off-the-grid samples. [PDF]

Sampl Theory Signal Process Data Anal, 2023
López O, Yılmaz Ö.
europepmc   +1 more source

Accelerating the convergence of trigonometric series

Open Mathematics, 2006
Nersessian Anry, Poghosyan Arnak
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Refined quadratic estimations of Shafer's inequality. [PDF]

J Inequal Appl, 2017
Nishizawa Y.
europepmc   +1 more source