Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials
We study the problem of pointwise approximation by algebraic polynomials for classes of functions that are singular integrals of bounded functions. We obtain asymptotically exact estimates of approximations.
Saved in:
| Date: | 2001 |
|---|---|
| Main Authors: | Motornyi, V. P., Моторный, В. П. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4256 |
| 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
On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
by: Motornaya, O. V., et al.
Published: (2000)
by: Motornaya, O. V., et al.
Published: (2000)
Approximation of fractional-order integrals by algebraic polynomials. II
by: Motornyi, V. P., et al.
Published: (1999)
by: Motornyi, V. P., et al.
Published: (1999)
Approximation of fractional-order integrals by algebraic polynomials. I
by: Motornyi, V. P., et al.
Published: (1999)
by: Motornyi, V. P., et al.
Published: (1999)
On Exact Estimates for the Pointwise Approximation of the Classes $W^rH^ω$ by Algebraic Polynomials
by: Motornyi, V. P., et al.
Published: (2001)
by: Motornyi, V. P., et al.
Published: (2001)
On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment
by: Motornyi, V. P., et al.
Published: (2008)
by: Motornyi, V. P., et al.
Published: (2008)
One-sided approximation of a step by algebraic polynomials in the mean
by: Motornaya, O. V., et al.
Published: (2010)
by: Motornaya, O. V., et al.
Published: (2010)
On One-Sided Approximation of Functions with Regard for the Location of a Point on an Interval
by: Motornyi, V. P., et al.
Published: (2002)
by: Motornyi, V. P., et al.
Published: (2002)
Approximation of periodic functions by interpolation polynomials in $L_1$
by: Motorny, V. P., et al.
Published: (1990)
by: Motorny, V. P., et al.
Published: (1990)
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)
Complete asymptotics of approximations by certain singular integrals in the mathematical modeling
by: K. N. Zhigallo
Published: (2020)
by: K. N. Zhigallo
Published: (2020)
On the calculation of certain singular integrals
by: Kovalenko, I. L., et al.
Published: (1993)
by: Kovalenko, I. L., et al.
Published: (1993)
Approximation of classes of analytic functions by algebraic polynomials and kolmogorov widths
by: Romanyuk, V. S., et al.
Published: (1996)
by: Romanyuk, V. S., et al.
Published: (1996)
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)
Comparison theorems for some nonsymmetric classes of functions
by: Motornaya, O. V., et al.
Published: (2008)
by: Motornaya, O. V., et al.
Published: (2008)
Approximate solution of singular integral first type equations by the method of orthogonal polynomials
by: Noreddin, M. M., et al.
Published: (1987)
by: Noreddin, M. M., et al.
Published: (1987)
Best one-sided approximation on the average for the classes of differentiable
functions by algebraic polynomials
by: Sedunova, V. V., et al.
Published: (2017)
by: Sedunova, V. V., et al.
Published: (2017)
Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces
by: Romanyuk, V. S., et al.
Published: (1999)
by: Romanyuk, V. S., et al.
Published: (1999)
On quadrature formulas with equal coefficients
by: Motornyi, V. P., et al.
Published: (1995)
by: Motornyi, V. P., et al.
Published: (1995)
On the exact constants in Hardy – Littlewood inequalities
by: Motornyi, V. P., et al.
Published: (2017)
by: Motornyi, V. P., et al.
Published: (2017)
Best one-sided approximation on the average for the classes of differentiable functions by algebraic polynomials
by: V. V. Siedunova
Published: (2017)
by: V. V. Siedunova
Published: (2017)
Certain integrals involving ℵ-functions and Laguerre
polynomials
by: Agarwal, P., et al.
Published: (2019)
by: Agarwal, P., et al.
Published: (2019)
On monotone and convex approximation by algebraic polynomials
by: Kopotun, K. A., et al.
Published: (1994)
by: Kopotun, K. A., et al.
Published: (1994)
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)
Certain integrals involving ℵ-functions and Laguerre polynomials
by: P. Agarwal, et al.
Published: (2019)
by: P. Agarwal, et al.
Published: (2019)
On the best $L_1$-approximation of truncated powers by algebraic polynomials
by: Nitiema, P. K., et al.
Published: (1998)
by: Nitiema, P. K., et al.
Published: (1998)
Approximation of certain classes of differentiable functions by generalized splines
by: Polyakov, O. V., et al.
Published: (1997)
by: Polyakov, O. V., et al.
Published: (1997)
On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$
by: Kogan, A. M., et al.
Published: (1999)
by: Kogan, A. M., et al.
Published: (1999)
One Class of singular integral operators
by: Pavlov , E. A., et al.
Published: (1991)
by: Pavlov , E. A., et al.
Published: (1991)
Estimates for the best bilinear approximations of the classes Brp,ɵ and singular numbers of integral operators
by: A. S. Romanjuk, et al.
Published: (2016)
by: A. S. Romanjuk, et al.
Published: (2016)
Approximation of functions from the Sobolev space by algebraic polynomials
by: Konovalov , V. N., et al.
Published: (1992)
by: Konovalov , V. N., et al.
Published: (1992)
Remarks on monotone and convex approximation by algebraic polynomials
by: Kopotun, K.A., et al.
Published: (1994)
by: Kopotun, K.A., et al.
Published: (1994)
Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators
by: Romanyuk, A. S., et al.
Published: (2016)
by: Romanyuk, A. S., et al.
Published: (2016)
Regularized approximations of singular perturbations from the $H_2$-class
by: Koshmanenko, V. D., et al.
Published: (2000)
by: Koshmanenko, V. D., et al.
Published: (2000)
On quadrature and cubature formulas for a class of multiple singular integrals
by: Akimenko, V. V., et al.
Published: (1997)
by: Akimenko, V. V., et al.
Published: (1997)
On the classification of functions integrable on
a segment
by: Motornaya, O. V., et al.
Published: (2016)
by: Motornaya, O. V., et al.
Published: (2016)
A polynomial approximation of nonlinear algebraic equations of the mathematical physics
by: V. I. Bilenko, et al.
Published: (2016)
by: V. I. Bilenko, et al.
Published: (2016)
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)
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)
Approximate solution of a dominant singular integral equation with conjugation
by: Pylak, D., et al.
Published: (2021)
by: Pylak, D., et al.
Published: (2021)
Similar Items
-
On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
by: Motornaya, O. V., et al.
Published: (2000) -
Approximation of fractional-order integrals by algebraic polynomials. II
by: Motornyi, V. P., et al.
Published: (1999) -
Approximation of fractional-order integrals by algebraic polynomials. I
by: Motornyi, V. P., et al.
Published: (1999) -
On Exact Estimates for the Pointwise Approximation of the Classes $W^rH^ω$ by Algebraic Polynomials
by: Motornyi, V. P., et al.
Published: (2001) -
On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment
by: Motornyi, V. P., et al.
Published: (2008)