Abstract | ||
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Let {p"m(w"@a)}"m be the sequence of the polynomials orthonormal w.r.t. the Sonin-Markov weight w"@a(x)=e^-^x^^^2|x|^@a. The authors study extended Lagrange interpolation processes essentially based on the zeros of p"m(w"@a)p"m"+"1(w"@a), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal. |
Year | DOI | Venue |
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2014 | 10.1016/j.cam.2013.01.019 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
real line,lagrange interpolation,lebesgue constant,weighted uniform space,sonin-markov weight w,extended lagrange interpolation,polynomials orthonormal w,orthogonal polynomials | Lagrange polynomial,Mathematical optimization,Polynomial,Orthogonal polynomials,Mathematical analysis,Real line,Orthonormal basis,Lebesgue integration,Mathematics | Journal |
Volume | ISSN | Citations |
259 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 4 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Donatella Occorsio | 1 | 9 | 4.00 |
Maria Grazia Russo | 2 | 5 | 2.98 |
RussoMaria Grazia | 3 | 0 | 0.34 |