Cover Image

On the best approximation of functions of $n$ variables

We propose a new approach to the solution of the problem of the best approximation, by a certain subspace for functions ofn variables determined by restrictions imposed on the modulus of, continuity of certain partial derivatives. This approach is based on the duality theorem and on the representati...

Full description

Saved in:

Bibliographic Details
Date:	1999
Main Authors:	Korneichuk, N. P., Корнійчук, М. П.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4734
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the best approximation of periodic functions of two variables by polynomial splines
by: Korneichuk, N. P., et al.
Published: (2000)

Permutations and piecewise-constant approximation of continuous functions of n variables
by: Korneichuk, N. P., et al.
Published: (1998)

Best Bilinear Approximations for the Classes of Functions of Many Variables
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)

Norms of Multipliers and Best Approximations of Holomorphic Functions of Many Variables
by: Savchuk, V. V., et al.
Published: (2002)

Best trigonometric and bilinear approximations for the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)

Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
by: Kononovych, T. O., et al.
Published: (2004)

Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
by: Romanyuk, A. S., et al.
Published: (2010)

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1993)

On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)

Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)

Best Orthogonal Trigonometric Approximations of Classes of Functions of Many Variables $L^{ψ}_{β, p}$
by: Konsevich, N. M., et al.
Published: (2001)

Best $n$-Term Approximations with Restrictions
by: Stepanets, O. I., et al.
Published: (2005)

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)

Best orthogonal trigonometric approximations of the classes $B^{Ω}_{p,θ}$ of periodic functions of many variables
by: Voitenko, S. P., et al.
Published: (2009)

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: Pozharska, K., et al.
Published: (2024)

Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: K. Pozharska, et al.
Published: (2024)

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)

Approximations of entire functions by polynomials of the best standard approximation
by: V. A. Voitovych
Published: (2017)

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)

Best bilinear approximations of the classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables
by: Solich, K. V., et al.
Published: (2011)

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)

On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces
by: S. B. Vakarchuk, et al.
Published: (2014)

On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces
by: Vakarchuk, S. B., et al.
Published: (2014)

Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$
by: Stasyuk, S. A., et al.
Published: (2012)

Estimates for the best asymmetric approximations of asymmetric classes of functions
by: Motornyi, V. P., et al.
Published: (2011)

Informativeness of functionals
by: Korneichuk, N. P., et al.
Published: (1994)

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)

Best $M$-Term Trigonometric Approximations of the Classes $B_{p,θ}^Ω$ of Functions of Many Variables
by: Stasyuk, S. A., et al.
Published: (2002)

Approximation by fourier sums and best approximations on classes of analytic functions
by: Serdyuk, A. S., et al.
Published: (2000)

Best approximations of the classes $B_{p,\,\theta}^{r}$ of periodic functions of many variables in uniform metric
by: Romanyuk, A. S., et al.
Published: (2006)

Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
by: Maimeskul , V. V., et al.
Published: (1992)

Best approximation by ridge functions in Lp-spaces
by: Maiorov, V.E.
Published: (2010)

Order equalities for some functionals and their application to the estimation of the best $n$-term approximations and widths
by: Shydlich, A. L., et al.
Published: (2009)

Best n-Term Approximations in Spaces with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)

On the best approximations of functions defined on zero-dimensional groups
by: Timan, M. F., et al.
Published: (2012)

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)

On rational functions of the best nonsymmetric approximations in integral metrics
by: Polyakov, O. V., et al.
Published: (2012)

The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II
by: Romanyuk, A. S., et al.
Published: (1993)

The best trigonometric and bilinear approximations of the functions of many variables from the classes $B_{p,\theta}^r$. I
by: Romanyuk, A.S., et al.
Published: (1992)