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On the bestL1-approximations of functional classes by splines under restrictions imposed on their derivatives

✍ Scribed by V. F. Babenko; N. V. Parfinovich

Book ID: 110572916
Publisher: Springer
Year: 1999
Tongue: English
Weight: 366 KB
Volume: 51
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf02591753

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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