Linear combinations of two Bernstein polynomials

DOI10.3934/mfc.2022061zbMath1529.41004OpenAlexW4313069460MaRDI QIDQ6112858

Gancho T. Tachev

Publication date: 7 August 2023

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2022061

zbMATH Keywords

Bernstein polynomialsmodulus of continuitylinear combinationrate of approximation

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Cites Work

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• Direct and inverse estimates for Bernstein polynomials
• Approximation with positive linear operators and linear combinations
• Bernstein Operators and Their Properties
• Learning theory of minimum error entropy under weak moment conditions
• Linear Combinations of Bernstein Polynomials
• Optimal learning with Gaussians and correntropy loss
• Strong converse inequalities
• On discrete q-derivatives of q-Bernstein operators
• Generalized Kantorovich modifications of positive linear operators

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