An identity for a general class of approximation operators

DOI10.1016/J.JAT.2006.03.005zbMath1114.41021OpenAlexW2056315425WikidataQ115600884 ScholiaQ115600884MaRDI QIDQ855482

Ulrich Abel

Publication date: 7 December 2006

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.03.005

zbMATH Keywords

Bernstein polynomialsBaskakov operatorsSzász-Mirakyan operators

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by positive operators (41A36)

Related Items (4)

Complete monotonicity and zeros of sums of squared Baskakov functions ⋮ A Voronovskaya-type theorem in simultaneous approximation ⋮ Studying Baskakov-Durrmeyer operators and quasi-interpolants via special functions ⋮ The Product of Two Functions Using Positive Linear Operators

Cites Work

• Unnamed Item
• New polynomial preserving operators on simplices: direct results
• Direct and converse results on weighted simultaneous approximation by the method of operators of Baskakov-Durrmeyer type
• An identity for multivariate Bernstein polynomials

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