On weighted approximation by rational operators for functions with singularities

DOI10.1007/S10474-011-0187-YzbMath1274.41054OpenAlexW1971600965MaRDI QIDQ452805

Dansheng Yu

Publication date: 17 September 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0187-y

zbMATH Keywords

weighted approximationfunction with singularitiesrational operator

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

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Cites Work

• Pointwise simultaneous approximation by rational operators
• The saturation class of Shepard operators
• Estimates of the Shepard interpolatory procedure
• Balázs-Shepard operators on infinite intervals. II
• Weighted approximation by rational operators
• Direct and converse results for the weighted rational approximation of functions with inner singularities
• Direct and converse results by rational operators
• Weighted uniform approximation on the semiaxis by rational operators
• Saturation of the Shepard operator
• Approximation by rational operators in L^pspaces
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