Approximation of Functions by the Szász-Mirakjan-Kantorovich Operator

DOI10.1080/01630563.2018.1557203zbMath1411.41017OpenAlexW2911169834MaRDI QIDQ4631903

Ivan Gadjev, Borislav R. Draganov

Publication date: 23 April 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1557203

zbMATH Keywords

\(K\)-functionaldirect theoremstrong converse theoremKantorovichSzász-Mirakjan

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)

Related Items (4)

Weighted approximation of functions in \(L_p\)-norm by Baskakov-Kantorovich operator ⋮ Strong Converse Inequality for Weighted Approximation of Functions by the Szász–Mirakjan–Kantorovich Operator ⋮ Direct estimates of the weighted simultaneous approximation by the Szász-Mirakjan operator ⋮ Weighted approximation of functions by the Szász-Mirakjan-Kantorovich operator

Cites Work

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• Approximation by Szasz-Mirakjan-Kantorovich operators in \(L^p\) \((p>1)\)
• Uniform approximation by Szasz-Mirakjan type operators
• Strong converse inequality for Kantorovich polynomials
• The strong converse inequality for Bernstein-Kantorovich operators
• Generalization of Bernstein's polynomials to the infinite interval
• Strong converse inequalities

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