Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients
An upper bound for the best approximation of summable functions of several variables by trigonometric polynomials in the metric of L is determined in terms of Fourier coefficients. We consider functions representable by trigonometric series with certain symmetry of coefficients satisfying a multiple...
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | Kononovych, T. O., Кононович, Т. О. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3987 |
| 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
Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
by: Kononovych, T. O., et al.
Published: (2004)
by: Kononovych, T. O., et al.
Published: (2004)
Lower bound for the best approximations of periodic summable functions of two variables and their conjugates in terms of Fourier coefficients
by: Kononovych, T. O., et al.
Published: (2008)
by: Kononovych, T. O., et al.
Published: (2008)
Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
by: Romanyuk, A. S., et al.
Published: (2010)
by: Romanyuk, A. S., et al.
Published: (2010)
Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients
by: Zaderei, P. V., et al.
Published: (1998)
by: Zaderei, P. V., et al.
Published: (1998)
On Strong Summability of Fourier Series of Summable Functions
by: Pachulia, N. L., et al.
Published: (2000)
by: Pachulia, N. L., et al.
Published: (2000)
Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
by: A. S. Serdiuk, et al.
Published: (2013)
by: A. S. Serdiuk, et al.
Published: (2013)
Approximate properties of methods of summability of Fourier integrals
by: O. V. Kotova, et al.
Published: (2015)
by: O. V. Kotova, et al.
Published: (2015)
Chebyshev approximation of functions of several variables
by: P. S. Malachivskyi, et al.
Published: (2020)
by: P. S. Malachivskyi, et al.
Published: (2020)
Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: U. Z. Hrabova, et al.
Published: (2013)
by: U. Z. Hrabova, et al.
Published: (2013)
Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: Hrabova, U. Z., et al.
Published: (2013)
by: Hrabova, U. Z., et al.
Published: (2013)
Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$
by: Stasyuk, S. A., et al.
Published: (2012)
by: Stasyuk, S. A., et al.
Published: (2012)
Approximation by fourier sums and best approximations on classes of analytic functions
by: Serdyuk, A. S., et al.
Published: (2000)
by: Serdyuk, A. S., et al.
Published: (2000)
Algorithm of Uniform Approximation for Functions of Several Variables
by: P. S. Malachivskyi, et al.
Published: (2017)
by: P. S. Malachivskyi, et al.
Published: (2017)
On the best approximation of functions of $n$ variables
by: Korneichuk, N. P., et al.
Published: (1999)
by: Korneichuk, N. P., et al.
Published: (1999)
Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients
by: Telyakovskii, S. A., et al.
Published: (1994)
by: Telyakovskii, S. A., et al.
Published: (1994)
Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
by: T. A. Stepaniuk
Published: (2014)
by: T. A. Stepaniuk
Published: (2014)
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: Литвин, О. М., et al.
Published: (2016)
by: Литвин, О. М., et al.
Published: (2016)
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: Литвин, О. М., et al.
Published: (2016)
by: Литвин, О. М., et al.
Published: (2016)
Certain remarks on approximation of the hing smoothness functions by the Fourier operators
by: Stepanets , A. I., et al.
Published: (1992)
by: Stepanets , A. I., et al.
Published: (1992)
Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
by: A. S. Serdiuk, et al.
Published: (2014)
by: A. S. Serdiuk, et al.
Published: (2014)
Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
by: Serdyuk, A. S., et al.
Published: (2014)
by: Serdyuk, A. S., et al.
Published: (2014)
On the Absolute Summability of Fourier Series of Almost Periodic Functions
by: Ju. Kh. Khasanov
Published: (2013)
by: Ju. Kh. Khasanov
Published: (2013)
On the Absolute Summability of Fourier Series of Almost Periodic Functions
by: Khasanov, Yu., et al.
Published: (2013)
by: Khasanov, Yu., et al.
Published: (2013)
Estimation of the best approximation of periodic functions of two variables by an “angle” in the metric of $L_p$
by: Konopovich, T. O., et al.
Published: (2004)
by: Konopovich, T. O., et al.
Published: (2004)
Best Bilinear Approximations for the Classes of Functions of Many Variables
by: A. S. Romanjuk, et al.
Published: (2013)
by: A. S. Romanjuk, et al.
Published: (2013)
Best Bilinear Approximations for the Classes of Functions of Many Variables
by: Romanyuk, A. S., et al.
Published: (2013)
by: Romanyuk, A. S., et al.
Published: (2013)
On the absolute summability of Fourier series of almost-periodic besicovitch functions
by: Timan, M. F., et al.
Published: (2009)
by: Timan, M. F., et al.
Published: (2009)
Points of strong summability of fourier series
by: Pachulia, N. L., et al.
Published: (1994)
by: Pachulia, N. L., et al.
Published: (1994)
On absolute summability of multiple Fourier series
by: Ponomarenko, Yu. A., et al.
Published: (1971)
by: Ponomarenko, Yu. A., et al.
Published: (1971)
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: O. M. Lytvyn, et al.
Published: (2011)
by: O. M. Lytvyn, et al.
Published: (2011)
Basic properties of the problem of the best simultaneous approximation of several elements
by: Hnatyuk, Yu. V., et al.
Published: (1996)
by: Hnatyuk, Yu. V., et al.
Published: (1996)
Estimates for the best asymmetric approximations of asymmetric classes of functions
by: Motornyi, V. P., et al.
Published: (2011)
by: Motornyi, V. P., et al.
Published: (2011)
On the best approximation of periodic functions of two variables by polynomial splines
by: Korneichuk, N. P., et al.
Published: (2000)
by: Korneichuk, N. P., et al.
Published: (2000)
Norms of Multipliers and Best Approximations of Holomorphic Functions of Many Variables
by: Savchuk, V. V., et al.
Published: (2002)
by: Savchuk, V. V., et al.
Published: (2002)
On the summability of double Walsh–fourier series of functions of bounded generalized variation
by: Goginava, U.
Published: (2012)
by: Goginava, U.
Published: (2012)
On the summability of double Walsh - Fourier series of functions of bounded generalized variation
by: Goginava, U., et al.
Published: (2012)
by: Goginava, U., et al.
Published: (2012)
Asymptotic estimates of approximation of continuous periodic functions by the Fourier sums
by: Gavrilyuk, V. T., et al.
Published: (1990)
by: Gavrilyuk, V. T., et al.
Published: (1990)
On the Perov Integro-Summable Inequality for Functions of Two Variables
by: Massalitina, E. V., et al.
Published: (2004)
by: Massalitina, E. V., et al.
Published: (2004)
Estimate of the Remainder of the Best Quadratic Approximation of Differentiable Functions by Polynomials
by: Grigoryan, A. L., et al.
Published: (2004)
by: Grigoryan, A. L., et al.
Published: (2004)
Best trigonometric and bilinear approximations for the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)
by: Romanyuk, A. S., et al.
Published: (1995)
Similar Items
-
Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
by: Kononovych, T. O., et al.
Published: (2004) -
Lower bound for the best approximations of periodic summable functions of two variables and their conjugates in terms of Fourier coefficients
by: Kononovych, T. O., et al.
Published: (2008) -
Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
by: Romanyuk, A. S., et al.
Published: (2010) -
Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients
by: Zaderei, P. V., et al.
Published: (1998) -
On Strong Summability of Fourier Series of Summable Functions
by: Pachulia, N. L., et al.
Published: (2000)