Some Problems of Simultaneous Approximation of Functions of Two Variables and Their Derivatives by Interpolation Bilinear Splines
Exact estimates for the errors of approximation of functions of two variables and their derivatives by interpolation bilinear splines are obtained on certain classes.
Saved in:
| Date: | 2005 |
|---|---|
| Main Authors: | Vakarchuk, S. B., Myskin, K. Yu., Вакарчук, С. Б., Мыскин, К. Ю. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2005
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3583 |
| 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 error of the interpolation by bilinear splines
by: Shabozov, M. Sh., et al.
Published: (1994)
by: Shabozov, M. Sh., et al.
Published: (1994)
The Method of Simultaneous Equable Approximation by Splines of Trigonometric Functions and Their Derivatives
by: Литвин, Олег Миколайович, et al.
Published: (2019)
by: Литвин, Олег Миколайович, et al.
Published: (2019)
The Method of Simultaneous Equable Approximation by Splines of Trigonometric Functions and Their Derivatives
by: O. M. Lytvyn, et al.
Published: (2019)
by: O. M. Lytvyn, et al.
Published: (2019)
Некоторые вопросы одновременной аппроксимации функций двух переменных и их производных интерполяционными билинейными сплайнами
by: Вакарчук, С.Б., et al.
Published: (2005)
by: Вакарчук, С.Б., et al.
Published: (2005)
Behaviour of derivatives of the spline-interpolation error
by: Korneichuk , N. P., et al.
Published: (1991)
by: Korneichuk , N. P., et al.
Published: (1991)
Approximation of functions of two variables by harmonic splines
by: Klimenko, V. T., et al.
Published: (1995)
by: Klimenko, V. T., et al.
Published: (1995)
Estimates for bilinear approximations of the classes TeX of periodic functions of two variables
by: Solich, K. V., et al.
Published: (2012)
by: Solich, K. V., et al.
Published: (2012)
On obtaining exact estimates for the derivative of the error of spline interpolation
by: Korneichuk , N. P., et al.
Published: (2025)
by: Korneichuk , N. P., et al.
Published: (2025)
Reconstruction of linear functionals on classes of analytic functions of two variables on the basis of generalized information
by: Vakarchuk, S. B., et al.
Published: (1993)
by: Vakarchuk, S. B., et al.
Published: (1993)
On total moduli of continuity for $2\pi$-periodic functions of two variables in the space $L_{2,2}$
by: Vakarchuk, M. B., et al.
Published: (2017)
by: Vakarchuk, M. B., et al.
Published: (2017)
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)
Approach of functions of two variables by 2D cubic interpolational splines on triangulational grid of knots
by: Литвин, О. М., et al.
Published: (2012)
by: Литвин, О. М., et al.
Published: (2012)
Approach of functions of two variables by 2D cubic interpolational splines on triangulational grid of knots
by: Литвин, О. М., et al.
Published: (2012)
by: Литвин, О. М., et al.
Published: (2012)
On the moduli of continuity and fractional-order derivatives in the problems of
best mean-square approximations by entire functions of the exponential type on the entire
real axis
by: Vakarchuk, S. B., et al.
Published: (2017)
by: Vakarchuk, S. B., et al.
Published: (2017)
Spline approximation with the coupling curves by the derivatives
by: Раисов, Ю. А., et al.
Published: (2012)
by: Раисов, Ю. А., et al.
Published: (2012)
Spline approximation with the coupling curves by the derivatives
by: Раисов, Ю. А., et al.
Published: (2012)
by: Раисов, Ю. А., et al.
Published: (2012)
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)
Approach of functions of two variables by 2D cubic interpolational splines on triangulational grid of knots
by: O. M. Lytvyn, et al.
Published: (2012)
by: O. M. Lytvyn, et al.
Published: (2012)
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)
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)
On the existence of interpolating $SK$-splines
by: Serdyuk, A. S., et al.
Published: (1994)
by: Serdyuk, A. S., et al.
Published: (1994)
On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation
by: Vakarchuk, S. B., et al.
Published: (2000)
by: Vakarchuk, S. B., et al.
Published: (2000)
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)
by: Vakarchuk, S. B., et al.
Published: (2014)
Spline approximation with the coupling curves by the derivatives
by: Ju. A. Raisov, et al.
Published: (2012)
by: Ju. A. Raisov, et al.
Published: (2012)
Approximation of some classes of functions of many variables by harmonic splines
by: Babenko, V. F., et al.
Published: (2012)
by: Babenko, V. F., et al.
Published: (2012)
On estimation of the uniform approximation error by interpolating multilinear spline with lp distances
by: L. Zhu, et al.
Published: (2024)
by: L. Zhu, et al.
Published: (2024)
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)
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)
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)
Interpolation by Splines of Even Degree According to Subbotin and Marsden
by: Volkov, Yu. S., et al.
Published: (2014)
by: Volkov, Yu. S., et al.
Published: (2014)
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 estimation of the uniform approximation error by interpolating multilinear spline with $l_p$ distances
by: Zhu, Laiyi, et al.
Published: (2024)
by: Zhu, Laiyi, et al.
Published: (2024)
On the best polynomial approximation of entire transcendental functions in Banach spaces. II
by: Vakarchuk, S. B., et al.
Published: (1994)
by: Vakarchuk, S. B., et al.
Published: (1994)
Kolmogorov widths and bilinear approximations of the classes of periodic
functions of one and many variables
by: Romanyuk, A. S., et al.
Published: (2018)
by: Romanyuk, A. S., et al.
Published: (2018)
Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions
by: Vakarchuk, S. B., et al.
Published: (2001)
by: Vakarchuk, S. B., et al.
Published: (2001)
Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
by: Vakarchuk, S. B., et al.
Published: (2012)
by: Vakarchuk, S. B., et al.
Published: (2012)
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)
by: Solich, K. V., et al.
Published: (2011)
The best polynomial approximation of functions analytical in the single circle
by: Vakarchuk, S. B., et al.
Published: (1990)
by: Vakarchuk, S. B., et al.
Published: (1990)
Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables
by: A. S. Romaniuk
Published: (2018)
by: A. S. Romaniuk
Published: (2018)
Simultaneous approximation of values of two Jacobi elliptic functions
by: Ya. M. Kholiavka
Published: (2012)
by: Ya. M. Kholiavka
Published: (2012)
Similar Items
-
On the error of the interpolation by bilinear splines
by: Shabozov, M. Sh., et al.
Published: (1994) -
The Method of Simultaneous Equable Approximation by Splines of Trigonometric Functions and Their Derivatives
by: Литвин, Олег Миколайович, et al.
Published: (2019) -
The Method of Simultaneous Equable Approximation by Splines of Trigonometric Functions and Their Derivatives
by: O. M. Lytvyn, et al.
Published: (2019) -
Некоторые вопросы одновременной аппроксимации функций двух переменных и их производных интерполяционными билинейными сплайнами
by: Вакарчук, С.Б., et al.
Published: (2005) -
Behaviour of derivatives of the spline-interpolation error
by: Korneichuk , N. P., et al.
Published: (1991)