Weighted \(L_ p\)-approximation of derivatives by the method of gammaoperators

DOI10.1007/BF03322258zbMath0835.41022OpenAlexW2012484190MaRDI QIDQ1904439

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

Publication date: 20 December 1995

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

Full work available at URL: https://doi.org/10.1007/bf03322258

zbMATH Keywords

modulus of smoothnessGamma operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Related Items

Convergence estimates of certain gamma type operators ⋮ Asymptotic approximation of functions and their derivatives by Müller's Gamma operators ⋮ Preservation properties by Bernstein-type operators. A probabilistic approach ⋮ The Complete Asymptotic Expansion for the Left Quasi Interpolants of Müller's Gamma Operators ⋮ Linear combinations of gammaoperators in \(L_p\) -- spaces ⋮ Strong converse inequality for left gamma quasi-interpolants

Cites Work

• An elementary approach to inverse approximation theorems
• Equivalence theorem on weighted simultaneous \(L_ p\)-approximation by the method of Kantorovič operators
• Norm inequalities for derivatives and differences
• Kantorovich-Bernstein polynomials
• Direct and converse results on weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer type
• Approximationseigenschaften der Gammaoperatoren
• Punktweise und gleichmäßige Approximation durch Gammaoperatoren
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item