Cover Image

Exact Constants of the Best One Sided Approximations of the Sum Analytic Functions from Different Classes

The task of obtaining the exact values of the best approximations by trigonometric polynomials of continuous or summable functions originates from the works of P. L. Chebyshev, who, back in the 1950s, posed the problem of finding the polynomial, that deviates the least from a given continuous functi...

Full description

Saved in:

Bibliographic Details
Date:	2022
Main Authors:	Сорич, Віктор, Сорич, Ніна
Format:	Article
Language:	Ukrainian
Published:	Кам'янець-Подільський національний університет імені Івана Огієнка 2022
Online Access:	http://mcm-math.kpnu.edu.ua/article/view/274097
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 sciences

Similar Items

Exact Constants of the Best One Sided Approximations of the Sum Analytic Functions from Different Classes
by: V. A. Sorych, et al.
Published: (2022)

The Best Approximation of Function Classes Generated by Composite Kernels
by: Сорич, Віктор, et al.
Published: (2025)

Best Approximation in the Integral Metric of a Linear Combination of Periodic Functions of Different Parity
by: Сорич, Віктор, et al.
Published: (2024)

Extreme Values of the Best Approximations of Linear Combinations оf Harmonic Functions
by: Сорич, Віктор, et al.
Published: (2023)

Approximation by fourier sums and best approximations on classes of analytic functions
by: Serdyuk, A. S., et al.
Published: (2000)

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)

Best one-sided approximation on the average for the classes of differentiable functions by algebraic polynomials
by: V. V. Siedunova
Published: (2017)

Best one-sided approximation on the average for the classes of differentiable functions by algebraic polynomials
by: Sedunova, V. V., et al.
Published: (2017)

On the Exact Asymptotics of the Best Relative Approximations of Classes of Periodic Functions by Splines
by: Parfinovych, N. V., et al.
Published: (2001)

On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$
by: Babenko, V. F., et al.
Published: (1994)

Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
by: A. S. Serdiuk, et al.
Published: (2013)

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)

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)

Exact constants in Jackson-type inequalities for the best mean square approximation in L_2(R) and exact values of mean nu-widths of the classes of functions
by: S. B. Vakarchuk
Published: (2016)

Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric
by: Serdyuk, A. S., et al.
Published: (2005)

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: U. Z. Hrabova, et al.
Published: (2013)

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: Hrabova, U. Z., et al.
Published: (2013)

СУМІСНЕ НАБЛИЖЕННЯ КЛАСІВ ІНТЕГРАЛІВ СУМАМИ ФЕЙЄРА
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)

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)

СУМІСНЕ НАБЛИЖЕННЯ КЛАСІВ ФУНКЦІЙ ВИСОКОЇ ГЛАДКОСТІ ІНТЕРПОЛЯЦІЙНИМИ ТРИГОНОМЕТРИЧНИМИ ПОЛІНОМАМИ В СЕРЕДНЬОМУ
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)

СУМІСНЕ НАБЛИЖЕННЯ КЛАСІВ ІНТЕГРАЛІВ СУМАМИ ВАЛЛЕ-ПУССЕНА, БЛИЗЬКИМИ ДО СУМ ФУР’Є
by: Сорич, Ніна Миколаївна, et al.
Published: (2009)

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)

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)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
by: A. S. Serdiuk, et al.
Published: (2015)

Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
by: Rukasov, V. I., et al.
Published: (2003)

НАЙКРАЩЕ ОДНОСТОРОННЄ НАБЛИЖЕННЯ ЛІНІЙНОЇ КОМБІНАЦІЇ ФУНКЦІЙ ТА ЇХ ПОХІДНИХ
by: Сорич, Андрій Вікторович, et al.
Published: (2008)

Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
by: T. A. Stepaniuk
Published: (2014)

Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$
by: Serdyuk, A. S., et al.
Published: (2005)

Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
by: A. S. Serdiuk, et al.
Published: (2014)

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
by: Serdyuk, A. S., et al.
Published: (2014)

Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
by: Maimeskul , V. V., et al.
Published: (1992)

The best polynomial approximation of functions analytical in the single circle
by: Vakarchuk, S. B., et al.
Published: (1990)

Best approximation of reproducing kernels of spaces of analytic functions
by: Savchuk, V. V., et al.
Published: (2004)

Approximation of analytic functions by the partial sums of Taylor series
by: M. V. Haievskyi, et al.
Published: (2015)

Approximation of analytic functions by the partial sums of Taylor series
by: Gaevs'kyi, M. V., et al.
Published: (2015)

On the Best Polynomial Approximations of $2π$-Periodic Functions and Exact Values of $n$-Widths of Functional Classes in the Space $L_2$
by: Vakarchuk, S. B., et al.
Published: (2002)