Weighted approximation of functions in \(L_p\)-norm by Baskakov-Kantorovich operator

DOI10.1007/s10476-020-0059-1zbMath1474.41082OpenAlexW3102218738MaRDI QIDQ2658376

Parvan E. Parvanov

Publication date: 20 March 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-020-0059-1

zbMATH Keywords

\(K\)-functionalweighted approximationBaskakov operatorBaskakov-Kantorovich operator

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) Weighted approximation (41A81)

Cites Work

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• Direct and inverse approximation theorems for Baskakov operators with the Jacobi-type weight
• Strong converse inequality for Kantorovich polynomials
• Strong converse inequalities for Baskakov operators.
• A new characterization of weighted Peetre \(K\)-functionals
• Kantorovich-Bernstein polynomials
• The strong converse inequality for Bernstein-Kantorovich operators
• About characterization of one K-functional
• A direct theorem for MKZ-Kantorovich operator
• Weighted approximation by Baskakov operators
• Approximation of Functions by the Szász-Mirakjan-Kantorovich Operator
• Strong converse inequalities

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