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On direct and converse theorems in the theory of weighted polynomial approximation

✍ Scribed by Géza Freud


Publisher
Springer-Verlag
Year
1972
Tongue
French
Weight
408 KB
Volume
126
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES


Forward and Converse Theorems of Polynom
✍ D.S. Lubinsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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
✍ D.S. Lubinsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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