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Coordinate Order of Approximation by Functional-Based Approximation Operators

โœ Scribed by H.G. Burchard; J.J. Lei

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
537 KB
Volume
82
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

We study coordinatewise (L_{p}) approximation by a fairly general class of linear operators that includes quasi-intrpolants and, like these, is based on a globally supported basis function and a globally supported linear functional of general form with certain mild decay conditions imposed on the basis function and the functional involved. In this quite general setting we show that the approximation power provided by a quasi-interpolant and other functional-based operators is equivalent to the polynomial reproducing property possessed by it. 1995 Academic Press, Inc

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โœ H. S. Kasana; H. Sollervall ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 293 KB

## Abstract A unified class of linear positive operators has been defined. Using these operators some approximation estimates have been obtained for unbounded functions. For particular linear positive operators these results sharpen and improve the earlier estimates due to Fuhua Cheng (J. Approx. T