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Lebesgue Constraints for an Orthogonal Polynomial Schauder Basis

✍ Scribed by Roland Girgensohn; Jörgen Prestin

Book ID
110287410
Publisher
Springer
Year
2000
Tongue
English
Weight
150 KB
Volume
2
Category
Article
ISSN
1572-9206

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✍ Francisco Marcellán; Henk G Meijer; Teresa E Pérez; Miguel A Piñar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 266 KB

Let {S,} denote the sequence of polynomials orthogonal with respect to the Sobolev inner product fo +°° f+°c :,. x . ,.x--%-X dx (f.g)s = f(x)o(x)x%-Xdx + 2 J ~ )9( )x . ## JO where ~ > -1, 2 > 0 and the leading coefficient of the S~ is equal to the leading coefficient of the Laguerre polynomial