Some numerical applications of generalized Bernstein operators

DOI10.33205/cma.868272zbMath1490.65041OpenAlexW3133151926MaRDI QIDQ5006191

Woula Themistoclakis, Maria Grazia Russo, Donatella Occorsio

Publication date: 13 August 2021

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.868272

zbMATH Keywords

Bernstein polynomialsapproximation by polynomialsFredholm integral equations on uniform gridsnumerical integration on uniform gridss

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximation by polynomials (41A10) Numerical quadrature and cubature formulas (65D32)

Related Items (9)

Filtered integration rules for finite weighted Hilbert transforms ⋮ Constrained mock-Chebyshev least squares quadrature ⋮ Iterates of \(q\)-Bernstein operators on triangular domain with all curved sides ⋮ On approximation of unbounded functions by certain modified Bernstein operators ⋮ On the numerical solution of Volterra integral equations on equispaced nodes ⋮ Approximation theorem for new modification of \(q\)-Bernstein operators on (0,1) ⋮ Approximation by one and two variables of the Bernstein-Schurer-type operators and associated GBS operators on symmetrical mobile interval ⋮ A discretization method for nonlocal diffusion type equations ⋮ A product integration rule on equispaced nodes for highly oscillating integrals

Cites Work

• Markov operators, positive semigroups and approximation processes
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• Numerical evaluation of hypersingular integrals
• Korovkin-type approximation theory and its applications
• Approximation theorems for the iterated Boolean sums of Bernstein operators
• The eigenstructure of the Bernstein operator
• A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation
• Error bounds for Romberg quadrature
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• ON THE ITERATIVE COMBINATIONS OF BERNSTEIN POLYNOMIALS
• The Numerical Solution of Integral Equations of the Second Kind
• Convergence of Iterated Boolean-type Sums and Their Iterates
• Bivariate generalized Bernstein operators and their application to Fredholm integral equations
• Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations
• The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms
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