Approximation by linear combinations of positive convolution integrals

DOI10.1016/0021-9045(89)90055-5zbMath0684.41012OpenAlexW2035613378MaRDI QIDQ1825389

I. Vogt

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90055-5

zbMATH Keywords

trigonometric polynomialsrate of approximationmeans of de La Vallée Poussinsingular convolution integral

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

An intermediate Korovkin-type asymptotic evaluation ⋮ On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators ⋮ Approximation properties for linear combinations of moment type operators ⋮ On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators ⋮ On the iterates of Mellin-Fejer convolution operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Aspects of de La Vallée Poussin's work in approximation and its influence
• Optimal kernels for a general sampling theorem
• Observation on the history of central \(B\)-splines
• Approximation with kernels of finite oscillations. II: Degree of approximation
• Trigonometric convolution operators with kernels having alternating signs and their degree of convergence
• Über beste Konstanten und asymptotische Entwicklungen positiver Faltungsintegrale und deren Zusammenhang mit dem Saturationsproblem
• Approximation with kernels of finite oscillations. I: Convergence
• Central factorial numbers; their main properties and some applications.
• Kernels of finite oscillations and convolution integrals
• On a Sequence of Linear Trigonometric Polynomial Operators
• On convolution operators with kernels of finite oscillations
• [https://portal.mardi4nfdi.de/wiki/Publication:5533838 More on the Calculation of the Integral I n (b) = 2 π � ∞ 0 � � sinx x � � n   cosbx dx]
• On a trigonometric convolution operator with kernel having two zeros of simple multiplicity
• Linear Combinations of Bernstein Polynomials

This page was built for publication: Approximation by linear combinations of positive convolution integrals