Sobolev Orthogonal Polynomials on the Sierpinski Gasket

Author:

Jiang Qingxuan,Lan Tian,Okoudjou Kasso A.,Strichartz Robert S.,Sule Shashank,Venkat Sreeram,Wang Xiaoduo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Reference17 articles.

1. Althammer, P.: Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation. J. Reine Angew. Math. 211, 192–204 (1962)

2. Ben-Gal, S., Shaw-Krauss, A., Strichartz, R.S., Young, C.: Calculus on the Sierpinski gasket II: point singularities, eigenfunctions, and normal derivatives of the heat kernel. Trans. Am. Math. Soc. 358, 3883–3936 (2006)

3. Cohen Jr., E.A.: Zero distribution and behavior of orthogonal polynomials in the Sobolev space $${W}^{1,2}[-1,1]$$. SIAM J. Math. Anal. 105–116 (1975)

4. Kigami, J.: Analysis on Fractals, vol. 143. Cambridge University Press, Cambridge (2001)

5. Mairhuber, J.C.: On haar’s theorem concerning chebychev approximation problems having unique solutions. Proc. Am. Math. Soc. 7, 609–615 (1956)

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