Necessary conditions of convergence of Hermite-Fejer interpolation polynomials for exponential weights

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This paper gives the conditions necessary for weighted convergence of Hermite-Fejer interpolation for a general class of even weights which are of exponential decay on the real line or at the end points of (-1, 1). The results of this paper guarantee that the conditions of Theorem 2.3 in [11] are optimal.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2005-09
Language
English
Article Type
Article
Keywords

PRODUCT INTEGRATION RULES; LAGRANGE INTERPOLATION; MEAN CONVERGENCE; ERDOS WEIGHTS; FREUD WEIGHTS; ORTHONORMAL POLYNOMIALS; REAL LINE; ORTHOGONAL POLYNOMIALS; SUFFICIENT CONDITIONS; L-P

Citation

JOURNAL OF APPROXIMATION THEORY, v.136, no.1, pp.26 - 44

ISSN
0021-9045
DOI
10.1016/j.jat.2005.04.013
URI
http://hdl.handle.net/10203/89753
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