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Optimal accuracy approximation of functions and their derivatives

✍ Scribed by A. I. Berezovskii; N. E. Nechiporenko

Publisher
Springer US
Year
1991
Tongue
English
Weight
269 KB
Volume
54
Category
Article
ISSN
1573-8795

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## Abstract Pointwise estimates are obtained for the simultaneous approximation of a function f Ο΅__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