Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions
Lower estimates of the Kolmogorov widths are obtained for certain classes of infinitely differentiable periodic functions in the metrics of C and L. For many important cases, these estimates coincide with the values of the best approximations of convolution classes by trigonometric polynomials calcu...
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | Serdyuk, A. S., Сердюк, А. С. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5176 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: Bodenchuk, V. V., et al.
Published: (2015)
by: Bodenchuk, V. V., et al.
Published: (2015)
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: Bodenchuk, V. V., et al.
Published: (2015)
by: Bodenchuk, V. V., et al.
Published: (2015)
Widths and best approximations for classes of convolutions of periodic functions
by: Serdyuk, A. S., et al.
Published: (1999)
by: Serdyuk, A. S., et al.
Published: (1999)
Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2015)
by: Romanyuk, A. S., et al.
Published: (2015)
Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness
by: Serdyuk, A. S., et al.
Published: (2005)
by: Serdyuk, A. S., et al.
Published: (2005)
Kolmogorov widths of the anisotropic Besov classes of periodic functions of many variables
by: Myronyuk, V. V., et al.
Published: (2016)
by: Myronyuk, V. V., et al.
Published: (2016)
Kolmogorov widths of the anisotropic Besov classes of periodic functions of many variables
by: V. V. Myroniuk
Published: (2016)
by: V. V. Myroniuk
Published: (2016)
Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
by: Serdyuk, A. S., et al.
Published: (2014)
by: Serdyuk, A. S., et al.
Published: (2014)
On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)
by: Romanyuk, A. S., et al.
Published: (1995)
Kolmogorov widths and bilinear approximations of the classes of periodic
functions of one and many variables
by: Romanyuk, A. S., et al.
Published: (2018)
by: Romanyuk, A. S., et al.
Published: (2018)
Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables
by: A. S. Romaniuk
Published: (2018)
by: A. S. Romaniuk
Published: (2018)
Estimates from below for Kolmogorov widths in classes of Poisson integral
by: A. S. Serdiuk, et al.
Published: (2013)
by: A. S. Serdiuk, et al.
Published: (2013)
Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (2004)
by: Serdyuk, A. S., et al.
Published: (2004)
Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
by: Romanyuk, V. S., et al.
Published: (2001)
by: Romanyuk, V. S., et al.
Published: (2001)
Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. II
by: Romanyuk, V. S., et al.
Published: (2001)
by: Romanyuk, V. S., et al.
Published: (2001)
Kolmogorov and linear widths of classes of s-monotone integrable functions
by: Konovalov, V. N., et al.
Published: (2005)
by: Konovalov, V. N., et al.
Published: (2005)
Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol'skii–Besov Classes of Periodic Functions of Many Variables
by: A. S. Romanjuk
Published: (2015)
by: A. S. Romanjuk
Published: (2015)
Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables
by: Myronyuk, V. V., et al.
Published: (2014)
by: Myronyuk, V. V., et al.
Published: (2014)
Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables
by: V. V. Myroniuk
Published: (2014)
by: V. V. Myroniuk
Published: (2014)
Kolmogorov widths of the classes LΨ (β,ρ) of periodic functions in the space Lq
by: H. M. Vlasyk
Published: (2017)
by: H. M. Vlasyk
Published: (2017)
Classification of infinitely differentiable periodic functions
by: Serdyuk, A. S., et al.
Published: (2008)
by: Serdyuk, A. S., et al.
Published: (2008)
Approximation of classes of analytic functions by algebraic polynomials and kolmogorov widths
by: Romanyuk, V. S., et al.
Published: (1996)
by: Romanyuk, V. S., et al.
Published: (1996)
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: V. V. Bodenchuk, et al.
Published: (2015)
by: V. V. Bodenchuk, et al.
Published: (2015)
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: V. V. Bodenchuk, et al.
Published: (2015)
by: V. V. Bodenchuk, et al.
Published: (2015)
Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric
by: Serdyuk, A. S., et al.
Published: (2001)
by: Serdyuk, A. S., et al.
Published: (2001)
Shape-preserving kolmogorov widths of classes of s-monotone integrable functions
by: Konovalov, V. N., et al.
Published: (2004)
by: Konovalov, V. N., et al.
Published: (2004)
Kolmogorov widths of the Nikol’skii – Besov classes of periodic functions of many variables in the space of quasi-continuous functions
by: Romanyuk , A. S., et al.
Published: (2022)
by: Romanyuk , A. S., et al.
Published: (2022)
Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$
by: Serdyuk, A. S., et al.
Published: (1995)
by: Serdyuk, A. S., et al.
Published: (1995)
On Estimates of the Kolmogorov Widths of the Classes $B_{p,θ}^r$ in the Space $L_q$
by: Romanyuk, A. S., et al.
Published: (2001)
by: Romanyuk, A. S., et al.
Published: (2001)
Best Approximations and Kolmogorov and Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables
by: Stasyuk, S. A., et al.
Published: (2004)
by: Stasyuk, S. A., et al.
Published: (2004)
On some new criteria for infinite differentiability of periodic functions
by: Serdyuk, A. S., et al.
Published: (2007)
by: Serdyuk, A. S., et al.
Published: (2007)
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)
by: M. V. Hembarskyi, et al.
Published: (2020)
Kolmogorov widths of the Nikol'skii–Besov classes of periodic functions of many variables in the space of quasicontinuous functions
by: A. S. Romaniuk, et al.
Published: (2022)
by: A. S. Romaniuk, et al.
Published: (2022)
Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$
by: Solich, K. V., et al.
Published: (2012)
by: Solich, K. V., et al.
Published: (2012)
On relative widths of classes of differentiable functions. II
by: Subbotin, Yu. N., et al.
Published: (2010)
by: Subbotin, Yu. N., et al.
Published: (2010)
On Kolmogorov widths of classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q$
by: Romanyuk, A. S., et al.
Published: (1994)
by: Romanyuk, A. S., et al.
Published: (1994)
Kolmogorov Widths for Analogs of the Nikol’skii–Besov Classes with Logarithmic Smoothness
by: Stasyuk, S. A., et al.
Published: (2015)
by: Stasyuk, S. A., et al.
Published: (2015)
Lower bounds for Kolmogorov widths in classes of convolutions with Neumann kernel
by: V. V. Bodenchuk
Published: (2014)
by: V. V. Bodenchuk
Published: (2014)
Trigonometric and linear widths for the classes of periodic multivariable
functions
by: Romanyuk, A. S., et al.
Published: (2017)
by: Romanyuk, A. S., et al.
Published: (2017)
Entropy numbers and Kolmogorov widths of Nikol'skii-Besov classes of periodic functions of two variables in the space L∞
by: A. S. Romaniuk
Published: (2015)
by: A. S. Romaniuk
Published: (2015)
Similar Items
-
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: Bodenchuk, V. V., et al.
Published: (2015) -
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: Bodenchuk, V. V., et al.
Published: (2015) -
Widths and best approximations for classes of convolutions of periodic functions
by: Serdyuk, A. S., et al.
Published: (1999) -
Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2015) -
Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness
by: Serdyuk, A. S., et al.
Published: (2005)