The best approximations of the classes of functions preset by means of the continuity modulus
This paper is devoted to an exact solution of problems of best approximation in the uniform and integral metrics of classes of periodic functions representable as a convolution of a kernel not increasing the oscillation with functions having a given convex upwards majorant of the modulus of continui...
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | Babenko , V. F., Бабенко , В. Ф. |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7952 |
| 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
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)
Approximative properties of the generalized Poisson integrals on the classes of functions, determined by a modulus of continuity
by: Ju. I. Kharkevich
Published: (2019)
by: Ju. I. Kharkevich
Published: (2019)
The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
by: Babenko, V. F., et al.
Published: (1998)
by: Babenko, V. F., et al.
Published: (1998)
On the best $L_1$-approximations of functional classes by splines under restrictions imposed on their derivatives
by: Babenko, V. F., et al.
Published: (1999)
by: Babenko, V. F., et al.
Published: (1999)
Approximation of the functions preset on the real axis by the Valle Pussen operators
by: Rukasov , V. I., et al.
Published: (1992)
by: Rukasov , V. I., et al.
Published: (1992)
Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)
by: Savchuk, V. V., et al.
Published: (2007)
Approximation by the Fourier operators of the functions preset on a real axis
by: Stepanets , A. I., et al.
Published: (1988)
by: Stepanets , A. I., et al.
Published: (1988)
Problem of uniqueness of an element of the best nonsymmetric L 1-approximation of continuous functions with values in KB -spaces
by: Babenko, V. F., et al.
Published: (2008)
by: Babenko, V. F., et al.
Published: (2008)
BestL1-approximations of classes $W_1^r$ by Splines from $W_1^r$
by: Babenko, V. F., et al.
Published: (1994)
by: Babenko, V. F., et al.
Published: (1994)
Approximation of continuous vector functions
by: Babenko, V. F., et al.
Published: (1994)
by: Babenko, V. F., et al.
Published: (1994)
On the best L2 -approximations of functions by using wavelets
by: Babenko, V. F., et al.
Published: (2008)
by: Babenko, V. F., et al.
Published: (2008)
On the best quadrature formulas for some classes of continuous functions
by: Polyakov, O. V., et al.
Published: (1998)
by: Polyakov, O. V., et al.
Published: (1998)
On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2013)
by: Vakarchuk, S. B., et al.
Published: (2013)
On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: S. B. Vakarchuk, et al.
Published: (2013)
by: S. B. Vakarchuk, et al.
Published: (2013)
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)
On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$
by: Babenko, V. F., et al.
Published: (1994)
by: Babenko, V. F., et al.
Published: (1994)
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)
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)
Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes
by: Vakarchuk, S. B., et al.
Published: (2010)
by: Vakarchuk, S. B., et al.
Published: (2010)
On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation
by: Vakarchuk, S. B., et al.
Published: (2000)
by: Vakarchuk, S. B., et al.
Published: (2000)
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)
The Best Approximation of Function Classes Generated by Composite Kernels
by: Сорич, Віктор, et al.
Published: (2025)
by: Сорич, Віктор, et al.
Published: (2025)
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)
Best bilinear approximations of functions from Nikolskii-Besov classes
by: Romanyuk, A. S., et al.
Published: (2012)
by: Romanyuk, A. S., et al.
Published: (2012)
Multiple modules of continuity and the best approximations of periodic functions
in metric spaces
by: Pichugov, S. A., et al.
Published: (2018)
by: Pichugov, S. A., et al.
Published: (2018)
On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
by: Serdyuk, A. S., et al.
Published: (1995)
by: Serdyuk, A. S., et al.
Published: (1995)
Best cubature formulas for some classes of continuous functions of two variables
by: Polyakov, O. V., et al.
Published: (2009)
by: Polyakov, O. V., et al.
Published: (2009)
On one property of the modulus of continuity for periodic functions of higher orders
by: Maksymenkova , Yu. A., et al.
Published: (2022)
by: Maksymenkova , Yu. A., et al.
Published: (2022)
On the uniqueness of an element of the best $L_1$-approximation for functions with values in a banach space
by: Babenko, V. F., et al.
Published: (2000)
by: Babenko, V. F., et al.
Published: (2000)
On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines
by: Parfinovych, N. V., et al.
Published: (2001)
by: Parfinovych, N. V., et al.
Published: (2001)
On one property of the modulus of continuity for periodic functions of higher orders
by: Yu. A. Maksymenkova, et al.
Published: (2022)
by: Yu. A. Maksymenkova, et al.
Published: (2022)
Best Polynomial Approximations in $L_2$ and Widths of Some Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2004)
by: Vakarchuk, S. B., 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)
On integral representations in the Hardi classes and on the best approximations in some functional spaces
by: Dovgoshei , A. A., et al.
Published: (1991)
by: Dovgoshei , A. A., et al.
Published: (1991)
Best linear methods for the approximation of functions of the Bergman class by algebraic polynomials
by: Savchuk, V. V., et al.
Published: (2006)
by: Savchuk, V. V., et al.
Published: (2006)
Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$
by: Savchuk, V. V., et al.
Published: (2003)
by: Savchuk, V. V., et al.
Published: (2003)
Best Uniform Approximation of a Family of Functions Continuous on a Compact Set
by: Hnatyuk, Yu. V., et al.
Published: (2002)
by: Hnatyuk, Yu. V., et al.
Published: (2002)
On the Best Linear Approximation Method for Hölder Classes
by: Skorokhodov, D. S., et al.
Published: (2015)
by: Skorokhodov, D. S., et al.
Published: (2015)
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)
Approximation of some classes of functions of many variables by harmonic splines
by: Babenko, V. F., et al.
Published: (2012)
by: Babenko, V. F., et al.
Published: (2012)
Similar Items
-
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) -
Approximative properties of the generalized Poisson integrals on the classes of functions, determined by a modulus of continuity
by: Ju. I. Kharkevich
Published: (2019) -
The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
by: Babenko, V. F., et al.
Published: (1998) -
On the best $L_1$-approximations of functional classes by splines under restrictions imposed on their derivatives
by: Babenko, V. F., et al.
Published: (1999) -
Approximation of the functions preset on the real axis by the Valle Pussen operators
by: Rukasov , V. I., et al.
Published: (1992)