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Approximation by Chlodowsky–Taylor polynomials

✍ Scribed by S. Kırcı Serenbay; E. İbikli


Book ID
113439534
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
291 KB
Volume
218
Category
Article
ISSN
0096-3003

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📜 SIMILAR VOLUMES


Approximation by weighted polynomials
✍ David Benko 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 262 KB

It is proven that if xQ 0 ðxÞ is increasing on ð0; þNÞ and wðxÞ ¼ expðÀQðxÞÞ is the corresponding weight on ½0; þNÞ; then every continuous function that vanishes outside the support of the extremal measure associated with w can be uniformly approximated by weighted polynomials of the form w n P n :