Lower bound for the best approximations of periodic summable functions of two variables and their conjugates in terms of Fourier coefficients
In terms of Fourier coefficients, we establish lower bounds for the sum of norms and the sum of the best approximations by trigonometric polynomials for functions from the space L(Q²) and functions conjugate to them with respect to each variable and with respect to both variables, provi...
Saved in:
| Date: | 2008 |
|---|---|
| Main Authors: | Kononovych, T. O., Кононович, Т. О. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2008
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3222 |
| 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)
Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients
by: Kononovych, T. O., et al.
Published: (2003)
by: Kononovych, T. O., et al.
Published: (2003)
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)
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)
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)
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)
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)
Strong summability of two-dimensional Vilenkin – Fourier series
by: U. Goginava
Published: (2019)
by: U. Goginava
Published: (2019)
Strong summability of two-dimensional Vilenkin – Fourier series
by: Goginava, U., et al.
Published: (2019)
by: Goginava, U., et al.
Published: (2019)
Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: K. Pozharska, et al.
Published: (2024)
by: K. Pozharska, et al.
Published: (2024)
Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: Pozharska, K., et al.
Published: (2024)
by: Pozharska, K., et al.
Published: (2024)
Lower bounds for the deviations of the best linear methods of approximation of continuous functions by trigonometric polynomials
by: Pichugov, S. A., et al.
Published: (2012)
by: Pichugov, S. A., et al.
Published: (2012)
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)
Bounded and summable solutions of a difference equation with piecewise constant operator coefficients
by: M. F. Horodnii
Published: (2022)
by: M. F. Horodnii
Published: (2022)
Bounded and summable solutions of a difference equation with piecewise constant operator coefficients
by: Horodnii , М. F., et al.
Published: (2022)
by: Horodnii , М. F., et al.
Published: (2022)
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)
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)
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)
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)
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)
Best M-term trigonometric approximations of the classes of periodic functions of many variables in the space Lq
by: Konohrai, A. F., et al.
Published: (2008)
by: Konohrai, A. F., et al.
Published: (2008)
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)
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)
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)
by: K. V. Shvai
Published: (2016)
Best $n$-Term Approximations with Restrictions
by: Stepanets, O. I., et al.
Published: (2005)
by: Stepanets, O. I., et al.
Published: (2005)
Best $M$-Term trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables
by: Voitenko, S. P., et al.
Published: (2009)
by: Voitenko, S. P., et al.
Published: (2009)
On the strong summability of the Fourier–Walsh series in the Besov space
by: A. Igenberlina, et al.
Published: (2024)
by: A. Igenberlina, et al.
Published: (2024)
On the strong summability of the Fourier–Walsh series in the Besov space
by: Igenberlina, A., et al.
Published: (2025)
by: Igenberlina, A., et al.
Published: (2025)
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)
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)
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)
Best M-term orthogonal trigonometric approximations of the classes B Ωp,θ of periodic functions of many variables
by: Stasyuk, S. A., et al.
Published: (2008)
by: Stasyuk, S. A., et al.
Published: (2008)
Strong summability and properties of Fourier?Laplace series on a sphere
by: Lasuriya, R. A., et al.
Published: (2012)
by: Lasuriya, R. A., et al.
Published: (2012)
Strong summability of multiple Fourier series and Sidon-type inequalities
by: Kuznetsovci, O. I., et al.
Published: (1998)
by: Kuznetsovci, O. I., et al.
Published: (1998)
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)
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)
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) -
Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients
by: Kononovych, T. O., et al.
Published: (2003) -
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) -
Approximate properties of methods of summability of Fourier integrals
by: O. V. Kotova, et al.
Published: (2015) -
On the summability of double Walsh - Fourier series of functions of bounded generalized variation
by: Goginava, U., et al.
Published: (2012)