Extremal interpolatory problem of Fejér type for all classical weight functions

zbMath1293.41003MaRDI QIDQ2447369

Ryszard Smarzewski, Przemysław Rutka

Publication date: 25 April 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/vol.39.2012/pp46-59.dir/pp46-59.html

zbMATH Keywords

classical orthogonal polynomialsSturm-Liouville differential equationPearson differential equationweighted stabilityFejér extremal problemLagrange optimal interpolationmost economical systems

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Optimality conditions for minimax problems (49K35)

Related Items (5)

Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials ⋮ Weighted Fejér constants and Fekete sets ⋮ An isoperimetric type problem for primitive Pythagorean hodograph curves ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ The electrostatic properties of zeros of exceptional Laguerre and Jacobi polynomials and stable interpolation

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