Extreme Values of the Best Approximations of Linear Combinations оf Harmonic Functions
Extreme problems and their practical applications have been under the scrutiny of mathematicians since ancient times. An important step in the development of extreme problems was made by P. L. Chebyshev, who in the 50s of the 19th century laid the foundations of a section of destructive function the...
Saved in:
| Date: | 2023 |
|---|---|
| Main Authors: | Сорич, Віктор, Сорич, Ніна |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2023
|
| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/296479 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
Institution
Mathematical and computer modelling. Series: Physical and mathematical sciencesSimilar Items
Best Approximation in the Integral Metric of a Linear Combination of Periodic Functions of Different Parity
by: Сорич, Віктор, et al.
Published: (2024)
by: Сорич, Віктор, et al.
Published: (2024)
The Best Approximation of Function Classes Generated by Composite Kernels
by: Сорич, Віктор, et al.
Published: (2025)
by: Сорич, Віктор, et al.
Published: (2025)
Exact Constants of the Best One Sided Approximations of the Sum Analytic Functions from Different Classes
by: Сорич, Віктор, et al.
Published: (2022)
by: Сорич, Віктор, et al.
Published: (2022)
Best approximation by trigonometric polynomials of convolution classes generated by some linear combinations of periodic kernels
by: Serdyuk, A., et al.
Published: (2026)
by: Serdyuk, A., et al.
Published: (2026)
The New Approximation Effects of Weyl-Nagy Kernels
by: Сорич, Віктор, et al.
Published: (2021)
by: Сорич, Віктор, et al.
Published: (2021)
НАБЛИЖЕННЯ ДЕЯКИХ ЛІНІЙНИХ КОМБІНАЦІЙ ФУНКЦІЙ ТА ЇХ ПОХІДНИХ В СЕНСІ О. І. СТЕПАНЦЯ ІНТЕРПОЛЯЦІЙНИМИ ТРИГОНОМЕТРИЧНИМИ ПОЛІНОМАМИ З ПАРНИМ ЧИСЛОМ ВУЗЛІВ НА ПЕРІОДІ
by: Сорич, Віктор Андрійович, et al.
Published: (2011)
by: Сорич, Віктор Андрійович, et al.
Published: (2011)
СУМІСНЕ НАБЛИЖЕННЯ КЛАСІВ ІНТЕГРАЛІВ СУМАМИ ФЕЙЄРА
by: Сорич, Віктор Андрійович, et al.
Published: (2012)
by: Сорич, Віктор Андрійович, et al.
Published: (2012)
НАБЛИЖЕННЯ СУМ ЗГОРТОК З ЯДРАМИ ПУАССОНА СУМАМИ ФУР’Є В РІВНОМІРНІЙ МЕТРИЦІ
by: Сорич, Віктор Андрійович, et al.
Published: (2013)
by: Сорич, Віктор Андрійович, et al.
Published: (2013)
СУМІСНЕ НАБЛИЖЕННЯ КЛАСІВ ФУНКЦІЙ ВИСОКОЇ ГЛАДКОСТІ ІНТЕРПОЛЯЦІЙНИМИ ТРИГОНОМЕТРИЧНИМИ ПОЛІНОМАМИ В СЕРЕДНЬОМУ
by: Сорич, Ніна Миколаївна, et al.
Published: (2010)
by: Сорич, Ніна Миколаївна, et al.
Published: (2010)
Сумісне наближення класів згорток з ядрами Пуассона сумами Фур’є в метриці простору Lp
by: Сорич, Віктор Андрійович, et al.
Published: (2017)
by: Сорич, Віктор Андрійович, et al.
Published: (2017)
СУМІСНЕ НАБЛИЖЕННЯ КЛАСІВ ІНТЕГРАЛІВ СУМАМИ ВАЛЛЕ-ПУССЕНА, БЛИЗЬКИМИ ДО СУМ ФУР’Є
by: Сорич, Ніна Миколаївна, et al.
Published: (2009)
by: Сорич, Ніна Миколаївна, et al.
Published: (2009)
НАЙКРАЩЕ ОДНОСТОРОННЄ НАБЛИЖЕННЯ ЛІНІЙНОЇ КОМБІНАЦІЇ ФУНКЦІЙ ТА ЇХ ПОХІДНИХ
by: Сорич, Андрій Вікторович, et al.
Published: (2008)
by: Сорич, Андрій Вікторович, et al.
Published: (2008)
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)
Best Linear Methods of Approximation of Functions of the Hardy Class $H_p$
by: Savchuk, V. V., et al.
Published: (2003)
by: Savchuk, V. V., et al.
Published: (2003)
On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
by: M. R. Langarshoev
Published: (2015)
by: M. R. Langarshoev
Published: (2015)
On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
by: Langarshoev, M. R., et al.
Published: (2015)
by: Langarshoev, M. R., et al.
Published: (2015)
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 Linear Approximation Method for Hölder Classes
by: Skorokhodov, D. S., et al.
Published: (2015)
by: Skorokhodov, D. S., et al.
Published: (2015)
Extremal Problems of Approximation Theory in Linear Spaces
by: Stepanets, O. I., et al.
Published: (2003)
by: Stepanets, O. I., et al.
Published: (2003)
Conditions of extreme element for the problem in the best sense of the family of convex functions of uniform approximation of a compact-display a variety of single-valued maps
by: U. V. Hudyma, et al.
Published: (2013)
by: U. V. Hudyma, et al.
Published: (2013)
Generalization of the Schwarz–Pick inequality and its application to the extreme problems of approximation of holomorphic functions
by: Savchuk, V., et al.
Published: (2025)
by: Savchuk, V., et al.
Published: (2025)
On the existence of a measurable function with given values of the best approximations in $L_0$
by: Pichugov, S. A., et al.
Published: (1996)
by: Pichugov, S. A., et al.
Published: (1996)
Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators
by: Shabozov, M. Sh., et al.
Published: (1995)
by: Shabozov, M. Sh., et al.
Published: (1995)
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)
Approximations of entire functions by polynomials of the best standard approximation
by: V. A. Voitovych
Published: (2017)
by: V. A. Voitovych
Published: (2017)
Lower bounds for the deviations of the best linear methods of approximation of continuous functions by trigonometric polynomials
by: Pichugov, S. A., et al.
Published: (2012)
by: Pichugov, S. A., et al.
Published: (2012)
Extreme Sequence Criteria for the Problem of the Best in the Sense of the Convex Function of the Approximation of a Fixed Element by a Convex Set
by: U. V. Hudyma, et al.
Published: (2017)
by: U. V. Hudyma, et al.
Published: (2017)
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)
Approximation of Classes $B_{p,θ}^r$ by Linear Methods and Best Approximations
by: Romanyuk, A. S., et al.
Published: (2002)
by: Romanyuk, A. S., et al.
Published: (2002)
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)
On the uniqueness of an element of the best $L_1$-approximation for functions with values in a banach space
by: Babenko, V. F., et al.
Published: (2000)
by: Babenko, V. F., et al.
Published: (2000)
On the best approximation of the HЁolder classes by linear methods
by: D. S. Skorokhodov
Published: (2014)
by: D. S. Skorokhodov
Published: (2014)
On the Best Linear Approximation Method for Hцlder Classes
by: D. S. Skorokhodov
Published: (2015)
by: D. S. Skorokhodov
Published: (2015)
Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
by: Maimeskul , V. V., et al.
Published: (1992)
by: Maimeskul , V. V., et al.
Published: (1992)
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)
Best approximation by ridge functions in Lp-spaces
by: Maiorov, V.E.
Published: (2010)
by: Maiorov, V.E.
Published: (2010)
Approximation in Lp by linear combinations of the indicators of balls
by: O. A. Ochakovskaja
Published: (2015)
by: O. A. Ochakovskaja
Published: (2015)
Best linear methods of approximation and optimal orthonormal systems of the Hardy space
by: Savchuk, V. V., et al.
Published: (2008)
by: Savchuk, V. V., et al.
Published: (2008)
On approximation of functions from below by splines of the best approximation with free nodes
by: Shumeiko, A. A., et al.
Published: (2000)
by: Shumeiko, A. A., et al.
Published: (2000)
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)
Similar Items
-
Best Approximation in the Integral Metric of a Linear Combination of Periodic Functions of Different Parity
by: Сорич, Віктор, et al.
Published: (2024) -
The Best Approximation of Function Classes Generated by Composite Kernels
by: Сорич, Віктор, et al.
Published: (2025) -
Exact Constants of the Best One Sided Approximations of the Sum Analytic Functions from Different Classes
by: Сорич, Віктор, et al.
Published: (2022) -
Best approximation by trigonometric polynomials of convolution classes generated by some linear combinations of periodic kernels
by: Serdyuk, A., et al.
Published: (2026) -
The New Approximation Effects of Weyl-Nagy Kernels
by: Сорич, Віктор, et al.
Published: (2021)