Search Results - Inverse theorems in approximation theory

Direct and inverse theorems of approximation theory in Banach function spaces

Authors: O. Vinogradov

Source: St. Petersburg Mathematical Journal. 35:907-928

On the constants in abstract inverse theorems of approximation theory

Authors: O. Vinogradov

Source: St. Petersburg Mathematical Journal. 34:573-589

Subject Terms: 0101 mathematics, 01 natural sciences

Direct and inverse theorems of approximation theory in Lebesgue spaces with Muckenhoupt weights

Authors: Oleg Leonidovich Vinogradov

Source: Ufa Mathematical Journal. 15:42-61

DIRECT AND INVERSE THEOREMS OF APPROXIMATION THEORY FOR THE GENERALIZED MODULUS OF SMOOTHNESS OF SOME CLASS OF FUNCTIONS

Authors: G.N. Kazimirov

Source: Problems of Physics, Mathematics and Technics. :92-94

Three problems in harmonic analysis and approximation theory

Authors: Oganesyan, Kristina

Thesis Advisors: Tikhonov, Sergey, 1976-

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Sèries de Fourier, Fourier series, Series de Fourier, Polinomis trigonomètrics, Trigonometric polynomials, Polinomios trigonométricos, Particions, Integer partitions, Particiones, Ciències Experimentals

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/691687

Direct and inverse theorems of approximation theory

Authors: Radouan Daher Mohamed El Hamma Salah El Ouadih

Source: MATEMATIKA. :177-189

Subject Terms: 13. Climate action, 0101 mathematics, 01 natural sciences

Access URL: https://matematika.utm.my/index.php/matematika/article/download/771/731
https://matematika.utm.my/index.php/matematika/article/download/771/731
https://matematika.utm.my/index.php/matematika/article/view/771

Some Theorems of Approximation Theory in Weighted Smirnov Classes with Variable Exponent

Authors: Ahmet Testici Fen Edebiyat Fakültesi orcid:0000-0002-1163-7037

Contributors: Ahmet Testici Fen Edebiyat Fakültesi orcid:0000-0002-1163-7037

Source: Computational Methods and Function Theory. 20:39-61

Subject Terms: Faber Operators, Weighted Variable Exponent Smirnov Classes, Faber Series, Muckenhoupt Weights, Matrix Transforms, 0101 mathematics, Direct and Inverse Theorems, 01 natural sciences

File Description: application/pdf

Access URL: https://link.springer.com/article/10.1007/s40315-019-00296-7
https://hdl.handle.net/20.500.12462/10478
https://aperta.ulakbim.gov.tr/record/7481

Direct and inverse theorems of approximation theory for a generalized modulus of smoothness

Authors: Mikhail K. Potapov Faton M. Berisha

Source: Analysis Mathematica. 25:187-203

Subject Terms: Mathematics - Functional Analysis, operator of generalized translation, direct and inverse theorems of approximation, FOS: Mathematics, Rate of convergence, degree of approximation, 0101 mathematics, 01 natural sciences, generalized modulus of smoothess, Functional Analysis (math.FA), 41A35 (41A50, 42A16)

File Description: application/xml

Access URL: http://arxiv.org/pdf/1208.6328.pdf
http://arxiv.org/abs/1208.6328
https://zbmath.org/1528690
https://doi.org/10.1007/bf02908436
https://link.springer.com/article/10.1007/BF02908436

Polynomial Approximation on $$C^2$$-Domains: Polynomial approximation on \(C^2\)-domains

Authors: Dai, Feng Prymak, Andriy

Source: Constructive Approximation. 60:463-514

Subject Terms: Multidimensional problems, \(C^2\)-domains, Numerical Analysis (math.NA), Numerical quadrature and cubature formulas, 01 natural sciences, Approximate quadratures, Approximation by polynomials, Inverse theorems in approximation theory, modulus of smoothness, Mathematics - Classical Analysis and ODEs, polynomial approximation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 41A10, 41A17, 41A27, 41A63, 41A55, 65D32, Jackson inequality, Mathematics - Numerical Analysis, 0101 mathematics, inverse theorem, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 41A10, 41A17, 41A27, 41A63 (Primary), 41A55, 65D32 (Secondary)

File Description: application/xml

Access URL: http://arxiv.org/abs/1910.11719
http://arxiv.org/abs/2206.01544
https://zbmath.org/7954206
https://doi.org/10.1007/s00365-023-09669-7

Direct and inverse theorems on approximation of solution of operator equation: Direct and inverse theorems on approximation of solutions of operator equations

Authors: Gorbachuk, M.L. Gorbachuk, V.I.

Subject Terms: Linear symmetric and selfadjoint operators (unbounded), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Ritz's approximation, Inverse theorems in approximation theory, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, approximation of solution, boundary value conditions, operator equation, rate of approximation, selfajoint positive operator, positive operator, Equations and inequalities involving linear operators, with vector unknowns, smooth elements of operator

File Description: application/xml

Access URL: https://zbmath.org/1641380
http://dspace.nbuv.gov.ua/handle/123456789/169280

Direct and inverse theorems in approximation theory for periodic functions in S.B. Stechkin’s papers and the development of these theorems

Authors: V. I. Ivanov

Source: Proceedings of the Steklov Institute of Mathematics. 273:1-13

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://link.springer.com/article/10.1134/S0081543811050014
https://link.springer.com/content/pdf/10.1134/S0081543811050014.pdf

Direct and inverse theorems of approximation theory in Banach function spaces.

Authors: Vinogradov, O. L.

Source: St. Petersburg Mathematical Journal; 1/10/2025, Vol. 35 Issue 6, p907-928, 22p

A global inverse theorem on simultaneous approximation by Bernstein-Durrmeyer operators: A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators

Authors: Gonska, Heinz H Zhou, Xin-Long

Source: Journal of Approximation Theory. 67:284-302

Subject Terms: Mathematics(all), Numerical Analysis, Inverse theorems in approximation theory, Simultaneous approximation, Applied Mathematics, Approximation by positive operators, Ditzian-Totik modulus of smoothness, Bernstein-Durrmeyer operators, Rate of convergence, degree of approximation, Bernstein operators, Analysis

File Description: application/xml

Access URL: https://zbmath.org/26061
https://doi.org/10.1016/0021-9045(91)90004-t
https://www.sciencedirect.com/science/article/abs/pii/002190459190004T
https://www.sciencedirect.com/science/article/pii/002190459190004T
https://dl.acm.org/doi/10.1016/0021-9045%2891%2990004-T

An inverse approximation theorem in various metrics

Authors: N. A. Il'yasov

Source: Mathematical Notes of the Academy of Sciences of the USSR. 50:1253-1260

Subject Terms: best approximation by trigonometric polynomials, inverse Bernstein-type theorem, Inverse theorems in approximation theory, Trigonometric approximation

File Description: application/xml

Access URL: https://zbmath.org/28537
https://doi.org/10.1007/bf01158266
https://link.springer.com/content/pdf/10.1007/BF01158266.pdf
https://link.springer.com/article/10.1007/BF01158266

Inverse Theorems of Approximation Theory in L² (ℝ⁺, J ^αβ (x)dx).

Authors: Daher, R. El Ouadih, S.

Source: General Mathematics Notes. Feb2015, Vol. 26 Issue 2, p1-10. 10p.

Subject Terms: *MATHEMATICS theorems, *APPROXIMATION theory, *JACOBI integral, *MATHEMATICAL equivalence

People: BERNSTEIN, S.

Discretization. Direct and Inverse Theorems of Approximation Theory

Authors: Roald Mikhailovich Trigub Eduard S. Bellinsky

Source: Fourier Analysis and Approximation of Functions ISBN: 9789048166411

Access URL: https://rd.springer.com/chapter/10.1007/978-1-4020-2876-2_4
https://link.springer.com/chapter/10.1007/978-1-4020-2876-2_4

On the constants in abstract inverse theorems of approximation theory.

Authors: Vinogradov, O. L.

Source: St. Petersburg Mathematical Journal; 7/26/2023, Vol. 34 Issue 4, p573-589, 17p

Inverse and saturation theorems for radial basis function interpolation

Authors: Schaback, Robert Wendland, Holger

Contributors: Schaback, Robert Wendland, Holger

Source: Mathematics of Computation. 71:669-682

Subject Terms: Inverse theorems in approximation theory, 4. Education, positive definite functions, approximation orders, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences, Interpolation in approximation theory, Approximation by other special function classes, interpolation, Saturation in approximation theory

File Description: application/xml

Access URL: https://www.ams.org/mcom/2002-71-238/S0025-5718-01-01383-7/S0025-5718-01-01383-7.pdf
https://zbmath.org/1720966
https://doi.org/10.1090/s0025-5718-01-01383-7
https://resolver.sub.uni-goettingen.de/purl?gro-2/44614

Pointwise Approximation Theorems for Combinations and Derivatives of Bernstein Polynomials: Pointwise approximation theorems for combinations and derivatives of Bernstein polynomials

Authors: Lin Sen Xie

Source: Acta Mathematica Sinica, English Series. 21:1241-1248

Subject Terms: Approximation by polynomials, Inverse theorems in approximation theory, Approximation by positive operators, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2Fs10114-004-0425-0

Direct and inverse theorems in the theory of approximations in Hilbert space

Authors: Gorbachuk, M. L. Grushka, Ya. I. Torba, S. M.

Subject Terms: Best approximation, Chebyshev systems, Inverse theorems in approximation theory, Ritz approximation, self-adjoint operator, Multidimensional problems, Hilbert space, best approximation

File Description: application/xml

Access URL: https://zbmath.org/2169434