Extremal Problems of Approximation Theory in Linear Spaces
We propose an approach that enables one to pose and completely solve main extremal problems in approximation theory in abstract linear spaces. This approach coincides with the traditional one in the case of approximation of sets of functions defined and square integrable with respect to a given σ-ad...
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | Stepanets, O. I., Степанец, А. И. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4008 |
| 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
Problems of approximation theory in linear spaces
by: Stepanets, O. I., et al.
Published: (2006)
by: Stepanets, O. I., et al.
Published: (2006)
Approximation Characteristics of Spaces $S_\phi ^p$
by: Stepanets, O. I., et al.
Published: (2001)
by: Stepanets, O. I., et al.
Published: (2001)
Direct and Inverse Theorems in the Theory of Approximation of Functions in the Space $S^p$
by: Serdyuk, A. S., et al.
Published: (2002)
by: Serdyuk, A. S., et al.
Published: (2002)
Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
by: Stepanets, O. I., et al.
Published: (2004)
by: Stepanets, O. I., et al.
Published: (2004)
Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics
by: Stepanets, O. I., et al.
Published: (2001)
by: Stepanets, O. I., et al.
Published: (2001)
Approximate properties of the Zygmund method
by: Stepanets, O. I., et al.
Published: (1999)
by: Stepanets, O. I., et al.
Published: (1999)
Best $n$-Term Approximations with Restrictions
by: Stepanets, O. I., et al.
Published: (2005)
by: Stepanets, O. I., et al.
Published: (2005)
Inverse theorems on approximation of periodic functions
by: Stepanets, O. I., et al.
Published: (1995)
by: Stepanets, O. I., et al.
Published: (1995)
Approximation of cauchy-type integrals in Jordan domains
by: Stepanets, O. I., et al.
Published: (1993)
by: Stepanets, O. I., et al.
Published: (1993)
Approximation by entire functions in the mean on the real axis
by: Stepanets , A. I., et al.
Published: (1991)
by: Stepanets , A. I., et al.
Published: (1991)
Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$
by: Rukasov, V. I., et al.
Published: (2003)
by: Rukasov, V. I., et al.
Published: (2003)
Problems of saturation of linear methods
by: Gavrilyuk , V. T., et al.
Published: (1991)
by: Gavrilyuk , V. T., et al.
Published: (1991)
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)
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)
Approximation of $\bar {\psi} - \text{Integrals}$ of periodic functions by Fourier sums (small smoothness). IIof periodic functions by Fourier sums (small smoothness). II
by: Stepanets, O. I., et al.
Published: (1998)
by: Stepanets, O. I., et al.
Published: (1998)
Approximation of $\bar {\psi} - integrals$−integrals of periodic functions by Fourier sums (small smoothness). Iof periodic functions by Fourier sums (small smoothness). I
by: Stepanets, O. I., et al.
Published: (1998)
by: Stepanets, O. I., et al.
Published: (1998)
On some extremal problems of approximation theory in the complex plane
by: Vakarchuk, S. B., et al.
Published: (2004)
by: Vakarchuk, S. B., et al.
Published: (2004)
Massiveness of the sets of extremal functions in some problems in approximation theory
by: Kofanov, V. A., et al.
Published: (1993)
by: Kofanov, V. A., et al.
Published: (1993)
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 some extremal problems in the theory of approximation of functions in the spaces $S^p,\quad 1 \leq p < \infty$
by: Vakarchuk, S. B., et al.
Published: (2006)
by: Vakarchuk, S. B., et al.
Published: (2006)
Approximation of Cauchy-Type Integrals
by: Savchuk, V. V., et al.
Published: (2002)
by: Savchuk, V. V., et al.
Published: (2002)
The Fourier sums: new results and unsolved problems
by: Stepanets, A. I., et al.
Published: (1988)
by: Stepanets, A. I., et al.
Published: (1988)
Generalized characteristics of smoothness and some extreme problems of the
approximation theory of functions in the space $L_2 (R)$. II
by: Vakarchuk, S. B., et al.
Published: (2018)
by: Vakarchuk, S. B., et al.
Published: (2018)
Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials
by: Serdyuk, A. S., et al.
Published: (2000)
by: Serdyuk, A. S., et al.
Published: (2000)
Approximation Properties of the de la Vallée-Poussin Method
by: Rukasov, V. I., et al.
Published: (2002)
by: Rukasov, V. I., et al.
Published: (2002)
Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space L2 (R). I
by: S. B. Vakarchuk
Published: (2018)
by: S. B. Vakarchuk
Published: (2018)
Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space L2(R). II
by: S. B. Vakarchuk
Published: (2018)
by: S. B. Vakarchuk
Published: (2018)
Spaces $S^p$ with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)
by: Rukasov, V. I., et al.
Published: (2003)
Generalized characteristics of smoothness and some extremе problems
of the approximation theory of functions in the space $L_2 (R)$. I
by: Vakarchuk, S. B., et al.
Published: (2018)
by: Vakarchuk, S. B., et al.
Published: (2018)
Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. I
by: Zorii, N. V., et al.
Published: (2001)
by: Zorii, N. V., et al.
Published: (2001)
Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. II
by: Zorii, N. V., et al.
Published: (2001)
by: Zorii, N. V., et al.
Published: (2001)
Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. III
by: Zorii, N. V., et al.
Published: (2001)
by: Zorii, N. V., et al.
Published: (2001)
Extremal Problems in Logarithmic Potential Theory
by: Zorii, N. V., et al.
Published: (2002)
by: Zorii, N. V., et al.
Published: (2002)
Rate of convergence of a group of deviations on sets of $\bar{\psi}$−integrals
by: Stepanets, O. I., et al.
Published: (1999)
by: Stepanets, O. I., et al.
Published: (1999)
Several statements for convex functions
by: Stepanets, O. I., et al.
Published: (1999)
by: Stepanets, O. I., et al.
Published: (1999)
Rate of convergence of Fourier series on the classes of $\overline{\psi}$-integrals
by: Stepanets, O. I., et al.
Published: (1997)
by: Stepanets, O. I., et al.
Published: (1997)
K-functionals and extreme problems of the theory of approximation for classes of analytic functions in the circle. I
by: S. B. Vakarchuk, et al.
Published: (2022)
by: S. B. Vakarchuk, et al.
Published: (2022)
$K$-functionals and extreme problems of the theory of approximation for classes of analytic functions in the circle. I
by: Vakarchuk, S. B., et al.
Published: (2022)
by: Vakarchuk, S. B., et al.
Published: (2022)
Classes of $(\psi, \beta)$-differential functions of complex variable and approximation by linear averages of their Faber series
by: Stepanec, A.I., et al.
Published: (1992)
by: Stepanec, A.I., et al.
Published: (1992)
K-functionals and extreme problems of the theory of approximation of the classes of analytic functions in a circle. II
by: S. B. Vakarchuk, et al.
Published: (2022)
by: S. B. Vakarchuk, et al.
Published: (2022)
Similar Items
-
Problems of approximation theory in linear spaces
by: Stepanets, O. I., et al.
Published: (2006) -
Approximation Characteristics of Spaces $S_\phi ^p$
by: Stepanets, O. I., et al.
Published: (2001) -
Direct and Inverse Theorems in the Theory of Approximation of Functions in the Space $S^p$
by: Serdyuk, A. S., et al.
Published: (2002) -
Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
by: Stepanets, O. I., et al.
Published: (2004) -
Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics
by: Stepanets, O. I., et al.
Published: (2001)