Results 1 to 10 of about 53,848 (117)

On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva   +3 more
doaj   +3 more sources

Approximation on the regular hexagon

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
doaj   +7 more sources

High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]

open access: yesJisuanji kexue, 2021
As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
doaj   +1 more source

Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk   +3 more
doaj   +1 more source

Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir   +3 more
doaj   +1 more source

Deterministic and random approximation by the combination of algebraic polynomials and trigonometric polynomials

open access: yesOpen Mathematics, 2021
Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
doaj   +1 more source

On approximation by Blackman- and Rogosinski-type operators in Banach space; pp. 205–219 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2016
In this paper we introduce the Blackman- and Rogosinski-type approximation processes in an abstract Banach space setting. Historical roots of these processes go back to W. W. Rogosinski in 1926.
Andi Kivinukk, Anna Saksa
doaj   +1 more source

Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)

open access: yesAl-Mustansiriyah Journal of Science, 2021
In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
doaj   +1 more source

Studying Some Stochastic Differential Equations with trigonometric terms with Application

open access: yesZanco Journal of Pure and Applied Sciences, 2022
In this paper we look at several (trigonometric) stochastic differential equations, we find the general form for such nonlinear stochastic differential equation by using the I'to formula.
Abdulghafoor Jasim Salim , Ali A. Asmael
doaj   +1 more source

Regularized sampling of multiband signals [PDF]

open access: yes, 2010
This paper presents a regularized sampling method for multiband signals, that makes it possible to approach the Landau limit, while keeping the sensitivity to noise at a low level.
Selva, J.
core   +1 more source

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