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Mean convergence of truncated hermite interpolation on an arbitrary system of nodes

✍ Scribed by Ying Guang Shi


Publisher
Akadmiai Kiad
Year
1997
Tongue
English
Weight
538 KB
Volume
76
Category
Article
ISSN
1588-2632

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Necessary Conditions forLpConvergence of
✍ Ying Guang Shi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 394 KB

This paper gives powerful necessary conditions for convergence of Lagrange interpolation on an arbitrary system of nodes in L p (d:) with d: belonging to the Szego 's class. This provides a partial answer to Problem XI of P. Tura n [J. Approx. Theory 29 (1980), 33 34]. It is shown that in this case