Best cubature formulas for some classes of continuous functions of two variables
The exact value of the error of a cubature formula is determined for some classes of continuous functions of two variables defined by strictly monotone moduli of continuity.
Saved in:
| Date: | 2009 |
|---|---|
| Main Authors: | Polyakov, O. V., Polyakova, N. O., Поляков, О. В, Полякова, Н. О. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2009
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3042 |
| 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 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)
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: Литвин, О. М., et al.
Published: (2016)
by: Литвин, О. М., et al.
Published: (2016)
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: Литвин, О. М., et al.
Published: (2016)
by: Литвин, О. М., et al.
Published: (2016)
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: O. M. Lytvyn, et al.
Published: (2011)
by: O. M. Lytvyn, et al.
Published: (2011)
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 construction of cubature formulas invariant under dihedral groups
by: Shamsiev, E. A., et al.
Published: (2008)
by: Shamsiev, E. A., et al.
Published: (2008)
The Optimal By The Order Of Exactness Cubature Formula For Calculation Of Two-Dimensional Integral From Highly Oscillating Functions Of General View
by: O. P. Nechuiviter, et al.
Published: (2019)
by: O. P. Nechuiviter, et al.
Published: (2019)
The Optimal By The Order Of Exactness Cubature Formula For Calculation Of Two-Dimensional Integral From Highly Oscillating Functions Of General View
by: Нечуйвітер, Олеся Петрівна, et al.
Published: (2019)
by: Нечуйвітер, Олеся Петрівна, et al.
Published: (2019)
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)
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)
Spline-interlineation in building of optimal by exactness cubature formula for the exact evaluating of 3D Fourier’s coefficients on one differential class
by: Литвин, О. М., et al.
Published: (2016)
by: Литвин, О. М., et al.
Published: (2016)
Spline-interlineation in building of optimal by exactness cubature formula for the exact evaluating of 3D Fourier’s coefficients on one differential class
by: Литвин, О. М., et al.
Published: (2016)
by: Литвин, О. М., et al.
Published: (2016)
The best approximations of the classes of functions preset by means of the continuity modulus
by: Babenko , V. F., et al.
Published: (1992)
by: Babenko , V. F., et al.
Published: (1992)
On exact values of quasiwidths for some classes of differentiable periodic functions of two variables
by: Akobirshoev, M. O., et al.
Published: (2009)
by: Akobirshoev, M. O., et al.
Published: (2009)
On the best approximation of periodic functions of two variables by polynomial splines
by: Korneichuk, N. P., et al.
Published: (2000)
by: Korneichuk, N. P., et al.
Published: (2000)
Spline-interlineation in building of optimal by exactness cubature formula for the exact evaluating of 3D Fourier's coefficients on one differential class
by: O. M. Lytvyn, et al.
Published: (2011)
by: O. M. Lytvyn, et al.
Published: (2011)
On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics
by: Polyakov, O. V., et al.
Published: (2013)
by: Polyakov, O. V., et al.
Published: (2013)
Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
by: Kononovych, T. O., et al.
Published: (2004)
by: Kononovych, T. O., 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)
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)
by: Konopovich, T. O., et al.
Published: (2004)
On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
by: Romanyuk, A. S., et al.
Published: (1995)
by: Romanyuk, A. S., et al.
Published: (1995)
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)
by: Romanyuk, A. S., et al.
Published: (1993)
Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
by: Romanyuk, A. S., et al.
Published: (2010)
by: Romanyuk, A. S., et al.
Published: (2010)
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 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)
On rational functions of the best nonsymmetric approximations in integral metrics
by: Polyakov, O. V., et al.
Published: (2012)
by: Polyakov, O. V., et al.
Published: (2012)
Upper and lower Lebesgue classes of multivalued functions of two variables
by: Karlova, O. O., et al.
Published: (2018)
by: Karlova, O. O., et al.
Published: (2018)
On the best approximation of functions of $n$ variables
by: Korneichuk, N. P., et al.
Published: (1999)
by: Korneichuk, N. P., et al.
Published: (1999)
Optimization of parameters in the generalized D'Alembert formula for a function of two variables
by: I. V. Serhiienko, et al.
Published: (2021)
by: I. V. Serhiienko, et al.
Published: (2021)
Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: K. Pozharska, et al.
Published: (2024)
by: K. Pozharska, et al.
Published: (2024)
Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
by: Pozharska, K., et al.
Published: (2024)
by: Pozharska, K., et al.
Published: (2024)
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 polynomial approximation in the space L2 and widths of some classes of functions
by: Vakarchuk, S. B., et al.
Published: (2012)
by: Vakarchuk, S. B., et al.
Published: (2012)
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)
by: Kononovych, T. O., et al.
Published: (2008)
Upper and lower Lebesgue classes of multivalued functions of two variables
by: O. Karlova, et al.
Published: (2018)
by: O. Karlova, et al.
Published: (2018)
Approximation of some classes of periodic functions of many variables
by: Tovkach, R. V., et al.
Published: (2010)
by: Tovkach, R. V., et al.
Published: (2010)
On inequalities for seminorms of certain classes of differentiable periodic functions
by: Polyakov, O. V., et al.
Published: (1997)
by: Polyakov, O. V., et al.
Published: (1997)
Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$
by: Stasyuk, S. A., et al.
Published: (2012)
by: Stasyuk, S. A., et al.
Published: (2012)
Best Orthogonal Trigonometric Approximations of Classes of Functions of Many Variables $L^{ψ}_{β, p}$
by: Konsevich, N. M., et al.
Published: (2001)
by: Konsevich, N. M., et al.
Published: (2001)
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)
by: Konohrai, A. F., et al.
Published: (2008)
Similar Items
-
On the best quadrature formulas for some classes of continuous functions
by: Polyakov, O. V., et al.
Published: (1998) -
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: Литвин, О. М., et al.
Published: (2016) -
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: Литвин, О. М., et al.
Published: (2016) -
The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
by: O. M. Lytvyn, et al.
Published: (2011) -
On quadrature and cubature formulas for a class of multiple singular integrals
by: Akimenko, V. V., et al.
Published: (1997)