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On the approximation of functions and their derivatives by Hermite interpolation

✍ Scribed by Peter Pottinger

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 210 KB
Volume: 23
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(78)90115-6

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## Abstract Pointwise estimates are obtained for the simultaneous approximation of a function f ϵ__C__^__q__^[‐1,1] and its derivatives f^(1)^, …, f^(q)^ by means of an arbitrary sequence of bounded linear projection operators __L__~__n__~ which map __C__[‐1,1] into the polynomials of degree at mos