\(L_p\)-approximation by Kantorovic operators

DOI10.1007/BF02020576zbMath0435.41011MaRDI QIDQ1140253

Volker Maier

Publication date: 1978

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

zbMATH Keywords

Bernstein polynomialsLp-approximationKantorovic operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (11)

Converse theorems for approximation by Bernstein polynomials in \(L_ p[0,1\) \((1<p<\infty)\)] ⋮ The \(L_p\)-saturation for linear combination of Bernstein-Kantorovich operators ⋮ \(L_ p\)-saturation of some modified Bernstein operators ⋮ On the convergence of Kantorovich operators in Morrey spaces ⋮ Saturation of linear combinations of baskakov-durrmeyer-type operators ⋮ Revisiting Kantorovich Operators in Lebesgue Spaces ⋮ \(L^p\) approximation strategy by positive linear operators ⋮ Problems and solutions concerning Kantorovich operators ⋮ A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators ⋮ Approximation by Szasz-Mirakjan-Kantorovich operators in \(L^p\) \((p>1)\) ⋮ Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

Cites Work

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• Degree of \(L_1\) approximation to integrable functions by modified Bernstein polynomials
• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• The \(L_1\) saturation class of the Kantorovic operator
• The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials
• Güteabschätzungen für den Kantorovic-Operator in der \(L_1\)-Norm

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