ملخص
Let I = [0, d), where d is finite or infinite. Let Wρ (x) = xρ exp (-Q (x)), where ρ > - 1/2 and Q is continuous and increasing on I, with limit ∞ at d. We study the orthonormal polynomials associated with the weight Wρ2, obtaining bounds on the orthonormal polynomials, zeros, and Christoffel functions. In addition, we obtain restricted range inequalities.
اللغة الأصلية | الإنجليزيّة |
---|---|
الصفحات (من إلى) | 199-256 |
عدد الصفحات | 58 |
دورية | Journal of Approximation Theory |
مستوى الصوت | 134 |
رقم الإصدار | 2 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - يونيو 2005 |
ملاحظة ببليوغرافية
Funding Information:∗ Corresponding author. Fax: +1 404 894 4409. E-mail address: lubins [email protected] (D. Lubinsky). 1This author acknowledges s upport by National Science Foundation Grant DMS 0400446.
Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.