Cover Image

Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness

Saved in:

Bibliographic Details
Date:	2016
Main Author:	S. A. Stasjuk
Format:	Article
Language:	English
Published:	2016
Series:	Ukrainian Mathematical Bulletin
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0000743715
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

Best $m$-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol’skii – Besov-type classes
by: Stasyuk, S. A., et al.
Published: (2016)

Best m-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol&#039;skii – Besov-type classes
by: S. A. Stasiuk
Published: (2016)

Estimates of the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of not high smoothness
by: A. S. Serdiuk, et al.
Published: (2015)

Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$
by: Serdyuk, A. S., et al.
Published: (2000)

Approximating Characteristics of the Analogs of Besov Classes with Logarithmic Smoothness
by: S. A. Stasjuk
Published: (2014)

Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
by: Akgün, R.
Published: (2011)

Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
by: Akgün, R., et al.
Published: (2011)

Parabolic mixed problems in spaces of generalized smoothness
by: V. N. Los, et al.
Published: (2014)

Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness
by: A. S. Serdiuk, et al.
Published: (2015)

Order Estimates for the Best Orthogonal Trigonometric Approximations of the Classes of Convolutions of Periodic Functions of Low Smoothness
by: Serdyuk, A. S., et al.
Published: (2015)

Smoothness Effects on Numerical Integration Accuracy for Rapidly Oscillating Bivariate Functions on Sparse Grids
by: Нечуйвітер, Олеся, et al.
Published: (2025)

Best $m$-term trigonometric approximation for the classes $B^r_{p,θ}$ of functions of low smoothness
by: Stasyuk, S. A., et al.
Published: (2010)

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials
by: V. V. Babenko, et al.
Published: (2016)

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
by: A. Serdiuk, et al.
Published: (2023)

Order estimates for approximative characteristics of functions from generalized classes of mixed smoothness of the Nikol&#039;skii-Besov type
by: Ya. Yanchenko
Published: (2014)

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials
by: Babenko, V. V., et al.
Published: (2016)

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
by: Serdyuk, A., et al.
Published: (2023)

Parabolic mixed problems for Petrovskii systems in spaces of generalized smoothness
by: V. M. Los
Published: (2014)

A nonhomogeneous parabolic mixed problem and spaces of generalized smoothness
by: V. M. Los, et al.
Published: (2014)

A linear system output transformation for sparse approximation
by: O. V. Tyshchuk, et al.
Published: (2022)

Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials
by: Serdyuk, A. S., et al.
Published: (2000)

Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
by: Serdyuk, A. S., et al.
Published: (2012)

Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (2004)

On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (1995)

The Method of Simultaneous Equable Approximation by Splines of Trigonometric Functions and Their Derivatives
by: O. M. Lytvyn, et al.
Published: (2019)

The Method of Simultaneous Equable Approximation by Splines of Trigonometric Functions and Their Derivatives
by: Литвин, Олег Миколайович, et al.
Published: (2019)

On the best $m$-term trigonometric and orthogonal trigonometric approximations of functions from the classes $L^{Ψ}_{β,ρ}$
by: Fedorenko, A. S., et al.
Published: (1999)

Order estimates for the approximative characteristics of functions from the classes SΩ(p,θ)B(ℝd) with a given majorant of generalized mixed modules of smoothness in the uniform metric
by: Ya. Yanchenko
Published: (2016)

On smoothness of solutions of mixed parabolic problems
by: V. M. Los, et al.
Published: (2013)

Algorithm for Decomposition of Integers and Smooth Approximation of Functions
by: V. S. Abramchuk, et al.
Published: (2022)

Approximation of classes of periodic functions with small smoothness
by: Bushev, D. M., et al.
Published: (2000)

Algorithm for Decomposition of Integers and Smooth Approximation of Functions
by: Абрамчук, Василь, et al.
Published: (2022)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
by: A. S. Serdiuk, et al.
Published: (2015)

Approximation of classes (Ψ, β)-differentiable functions by interpolating trigonometric polynomials
by: A. S. Serdiuk, et al.
Published: (2016)

Best trigonometric and bilinear approximations for the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)

Estimates for the best M-term trigonometric approximations of classes Lш (в,с) of periodic multivariable functions in the case of small smoothness in the space Lq
by: K. V. Pozharska
Published: (2017)

Order estimates for the approximative characteristics of functions from the classes $S_{p,θ}^{Ω} B(R^d)$ with a given majorant of generalized mixed modules of smoothness in the uniform metric
by: Yanchenko, S. Ya., et al.
Published: (2016)

Mathematical modeling of the trigonometric functions in a numerical system of generalized quaternions
by: Ja. A. Kalinovskij, et al.
Published: (2016)

The best M-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space L_q
by: K. V. Shvai
Published: (2016)

Singular integral equation equivalent in the space of smooth functions to an ordinary differential equation, method of successive approximations for the construction of its smooth solutions and its nonsmooth solutions
by: A. M. Samoilenko
Published: (2019)