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Converse theorems for approximation by bernstein polynomials in Lp[0,1] (1

โœ Scribed by K. G. Ivanov


Publisher
Springer
Year
1986
Tongue
English
Weight
554 KB
Volume
2
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES


Forward and Converse Theorems of Polynom
โœ D.S. Lubinsky ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 522 KB

We consider exponential weights of the form w :=e &Q on (&1, 1) where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove Jackson theorems in weighted L p spaces with norm & fw& Lp(&1,

Forward and Converse Theorems of Polynom
โœ D.S. Lubinsky ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 506 KB

We consider exponential weights of the form w :=e &Q on [&1, 1] where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove converse theorems of polynomial approximation in weighted L p s