Cover Image

On rational functions of the best nonsymmetric approximations in integral metrics

We obtain theorems that characterize the degree of the rational function of the best $(\alpha, \beta)$ -approximation in the space $L_p$ and conditions under which the value of the best rational $(\alpha, \beta)$ -approximation is less than the best $(\alpha, \beta)$ -approximation by algebraic poly...

Full description

Saved in:

Bibliographic Details
Date:	2012
Main Authors:	Polyakov, O. V., Ruchaevskaya, N. O., Поляков, О. В, Ручаевская, Н. О.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2683
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 (α;β)-Approximations of Convex Functions by Constants in Integral Metrics
by: Polyakov, O. V., et al.
Published: (2013)

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

On the best quadrature formulas for some classes of continuous functions
by: Polyakov, O. V., et al.
Published: (1998)

On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics
by: O. V. Poljakov
Published: (2013)

Spaces $S^p$ with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
by: A. S. Serdiuk, et al.
Published: (2014)

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)

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)

On best nonsymmetric L1-approximations of some classes of convolutions with generalized splines
by: I. A. Shevchenko
Published: (2015)

Best Approximation in the Integral Metric of a Linear Combination of Periodic Functions of Different Parity
by: Сорич, Віктор, et al.
Published: (2024)

Best cubature formulas for some classes of continuous functions of two variables
by: Polyakov, O. V., et al.
Published: (2009)

Approximation of certain classes of differentiable functions by generalized splines
by: Polyakov, O. V., et al.
Published: (1997)

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)

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)

Multiple modules of continuity and the best approximations of periodic functions in metric spaces
by: Pichugov, S. A., et al.
Published: (2018)

Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
by: Vacaru, S.I.
Published: (2008)

Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $H_{ω_p}$ in the metrics of the spaces $L_p$
by: Serdyuk, A. S., et al.
Published: (2010)

Approximation of the Infinitely-Differentiable Functions in an Integral Metric
by: I. B. Kovalska
Published: (2018)

Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities
by: Babenko, V. F., et al.
Published: (2009)

Comparison theorems for some nonsymmetric classes of functions
by: Motornaya, O. V., et al.
Published: (2008)

Limiting theorems for the best polynomial approximations in $L_\infty$ metrics
by: Ganzburg , M. I., et al.
Published: (1991)

New results in $G$-best approximation in $G$-metric spaces
by: Dehghan, Nezhad A., et al.
Published: (2010)

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 approximations of periodic functions in generalized lebesgue spaces
by: Chaichenko, S. O., et al.
Published: (2012)

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)

On integral representations in the Hardi classes and on the best approximations in some functional spaces
by: Dovgoshei , A. A., et al.
Published: (1991)

On inequalities for seminorms of certain classes of differentiable periodic functions
by: Polyakov, O. V., et al.
Published: (1997)

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)

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)

The Best $m$-Term Trigonometric Approximations of the Classes $L_{\beta ,p}^\Psi$ in Uniform Metric
by: Fedorenko, A. S., et al.
Published: (2004)

The best uniform approximation in the metric space of continuous maps with compact convex images
by: Hnatyuk, Yu. V., et al.
Published: (2010)

Approximation of the Bergman kernels by rational functions with fixed poles
by: Chaichenko, S. O., et al.
Published: (2017)

On Piecewise-Constant Approximation of Continuous Functions of n Variables in Integral Metrics
by: Bel'skii, S. A., et al.
Published: (2002)

On the best approximation of functions of $n$ variables
by: Korneichuk, N. P., et al.
Published: (1999)

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

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

Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2009)

On the rate of rational approximation of functions on tangent continua
by: Maimeskul, V. V., et al.
Published: (1993)

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

Approximation of the classes of convolutions of periodic functions by Zygmund sums in integral metrics
by: U. Z. Hrabova
Published: (2014)