Linear combinations of gammaoperators in \(L_p\) -- spaces

DOI10.1007/BF03322046zbMath0916.41020OpenAlexW2010288486MaRDI QIDQ1266944

Volker Maier, Manfred W. Müller, Detlef H. Mache, Alexandru Lupaş

Publication date: 13 October 1998

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322046

zbMATH Keywords

\(L_p\) spacesLaguerre polynomialsgamma operatorsBernstein-Markov type inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (4)

Asymptotic approximation of functions and their derivatives by Müller's Gamma operators ⋮ A strong converse inequality for left gamma quasi-interpolants in \(L_p\) spaces ⋮ The Complete Asymptotic Expansion for the Left Quasi Interpolants of Müller's Gamma Operators ⋮ Strong converse inequality for left gamma quasi-interpolants

Cites Work

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• Equivalence theorem on weighted simultaneous \(L_ p\)-approximation by the method of Kantorovič operators
• Weighted \(L_ p\)-approximation of derivatives by the method of gammaoperators
• Approximationseigenschaften der Gammaoperatoren
• Punktweise und gleichmäßige Approximation durch Gammaoperatoren
• Linear Combinations of Bernstein Polynomials

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