Cover Image

Orthoprotection widths of classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$

Obtained here are the exact order estimates of orthoprojective widths of the classes $L_{\beta, p}^\psi$ in the space $L_q$ for some relations between the parameters $p$ and $q$.

Saved in:

Bibliographic Details
Date:	2015
Author Affiliations:	Г. М. Власик — Інститут математики НАН України
Keywords:	keywords
Main Authors:	Vlasyk, H. M., Власик, Г. М.
Format:	Article
Language:	Ukrainian
Published:	Інститут математики НАН України 2015
Online Access:	https://trim.imath.kiev.ua/index.php/trim/article/view/286
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Transactions of Institute of Mathematics of NAS of Ukraine
Download file:

Institution

Transactions of Institute of Mathematics of NAS of Ukraine

Similar Items

Kolmogorov widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$
by: Vlasyk, H. M., et al.
Published: (2017)

Estimates of orthoprojective widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space Lq
by: Vlasyk, G. M., et al.
Published: (2015)

Orthoprojective widths of classes Lшв,p of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2015)

Estimates of orthoprojective widths of the classes Lβ, p Ψ of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2015)

Estimates for the best $M$-term trigonometric approximations of classes $L_{\beta,p}^\psi$ of periodic multivariable functions in the case of small smoothness in the space $L_q$
by: Pozharska, K. V., et al.
Published: (2017)

Kolmogorov widths of the classes LΨ (β,ρ) of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2017)

Estimations of linear widths of the classes $H_p^\Omega$ periodic functions of many variables in the space $L_q$
by: Derev’yanko, N. V., et al.
Published: (2014)

Estimates of the best orthogonal trigonometric approximations of the generalized multidimensional analogues of the Bernoulli kernels and classes $L^\psi_{\beta,1}$ in the space $L_q$
by: Shvai, K. V., et al.
Published: (2016)

Ortho-projective widths of classes $B_{p,\theta}^\Omega$ of periodic functions of many variables in the space $L_q$
by: Derev’yanko, N. V., et al.
Published: (2013)

Greedy algorithms of classes $(\psi,\beta)$-differentiable periodic functions
by: Shkapa, V. V., et al.
Published: (2015)

Estimations of linear widths of the classes HΩp periodic functions of many variables in the space Lq
by: N. V. Derevianko
Published: (2014)

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)

Best orthogonal trigonometric approximations of functions from classes $L_{\beta,1}^\psi$
by: Shkapa, V. V., et al.
Published: (2014)

Estimations of linear widths of the classes BΩp,θ of periodic functions of many variables in the space Lq
by: N. V. Derevianko
Published: (2014)

Approximation of classes of $(\psi,\beta)$-differentiable functions by Rogozinski polynomials
by: Kovalchuk, I. R., et al.
Published: (2017)

Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions.
by: Serdyuk, A. S., et al.
Published: (2013)

Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (2016)

Orthoprojective widths of classes BΩ(ρ,θ) of periodis functions of variables in the space Lq
by: N. V. Derevianko
Published: (2013)

Asymmetric fractal approximation of functions in the space $L_p^{\alpha ,\beta }(I)$
by: Nazarenko, M. O., et al.
Published: (2015)

Entropy numbers and Kolmogorov widths of Nikol’skii-Besov classes of periodic functions of two variables in the space $L_{\infty}$
by: Romanyuk, A. S., et al.
Published: (2015)

Widths of some classes of functions defined by the generalized moduli of continuity _in the space L_2
by: S. B. Vakarchuk
Published: (2017)

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)

Entropy numbers and Kolmogorov widths of Nikol&#039;skii-Besov classes of periodic functions of two variables in the space L∞
by: A. S. Romaniuk
Published: (2015)

Nonlinear approximation of the classes $F_{q,r}^{\psi}$ of functions of several variables in the integral metrics
by: Shidlich, A. L., et al.
Published: (2017)

Investigation of the Functional Properties and Spaces of Multipliers for Group L(p, q)(G)-Algebras
by: Eryılmaz, İ., et al.
Published: (2015)

Solution of the Kolmogorov-Nikol’skii problem for three-harmonic Poisson integrals on classes $C^{\psi}_{\beta,\infty}$
by: Grabova, U. Z., et al.
Published: (2014)

Widths of classes of functions in the weight space L2,г(R),г=exp(−x2)
by: S. B. Vakarchuk
Published: (2022)

Lebesgue type inequalities for the de la Vallée Poussin sums and their interpolation analogues on classes of $(\psi,\bar{\beta})$-differentiable functions
by: Voĭtovych, V. A., et al.
Published: (2013)

Linear widths of classes SΩp,θB of periodic functions of several variables
by: N. V. Derevianko, et al.
Published: (2015)

Linear widths of classes $S_{p,\theta}^\Omega B$ of periodic functions of several variables
by: Devevyanko, N. V., et al.
Published: (2015)

Апроксимативні характеристики класів Lψβ,p періодичних функцій у просторі Lq
by: Шкапа, В.В.
Published: (2015)

A study of functional properties and multipliers spaces of group L(p, q)(G)-algebras
by: İ. Eryılmaz, et al.
Published: (2015)

Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
by: H. M. Vlasyk, et al.
Published: (2019)

Trigonometric and linear widths for the classes of periodic multivariable functions
by: A. S. Romanjuk
Published: (2017)

Imbedding theorems for sets $L^{\psi}L_{M}$ and approximation by Fourier sums
by: Chaichenko, S. O., et al.
Published: (2014)

Estimates of the best orthogonal trigonometric approximations of the generalized multidimensional analogues of the Bernoulli kernels and classes L Ш в, 1 in the space Lq
by: K. V. Shvai
Published: (2016)

Linear and Kolmogorov widths of the classes BΩp,θ of periodic functions of one and several variables
by: M. V. Hembarskyi, et al.
Published: (2020)

Widths of the anisotropic Besov classes of periodic functions of several variables
by: V. V. Myroniuk
Published: (2016)

Structural characteristics of functions from L_2 and the exact values of widths of some functional classes
by: S. B. Vakarchuk, et al.
Published: (2014)

On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space L2x(0,1)
by: S. B. Vakarchuk
Published: (2019)