\(L^p\)-convergence of Hermite and Hermite-Fejér interpolation

DOI10.1016/j.jat.2013.08.001zbMath1283.41001OpenAlexW2289217164MaRDI QIDQ390682

Biancamaria Della Vecchia, Giuseppe Mastroianni, László Szili, Péter Vértesi

Publication date: 8 January 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.08.001

zbMATH Keywords

orthogonal polynomialsHermite and Hermite-Fejér interpolation of higher orderweighted \(L^p\)-convergence

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05)

Cites Work

• Mean convergence of Hermite-Fejér interpolation
• On higher order Hermite-Fejér interpolation in weighted \(L_ p\)- metric
• Weighted \(L^ p\) convergence of Hermite interpolation of higher order
• Some applications of generalized Jacobi weights
• Lagrange interpolation in weighted Besov spaces
• Mean convergence of generalized Jacobi series and interpolating polynomials. II
• Weighted \(L_ p\) error of Lagrange interpolation
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Mean convergence of orthogonal Fourier series and interpolating polynomials
• Mean Convergence of Lagrange Interpolation. III
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• Best approximation and moduli of smoothness for doubling weights
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