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On the simultaneous approximation of functions and their derivatives by the Szász-Mirakyan operator

✍ Scribed by Xiehua Sun


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
319 KB
Volume
55
Category
Article
ISSN
0021-9045

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Approximation of Functions on [−1,1] and
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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