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Mean Convergence of Lagrnage Type Interpolation on an Arbitrary System of Nodes

✍ Scribed by Ying-guang Shi

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
166 KB
Volume
18
Category
Article
ISSN
0168-9673

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✍ 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