On the \(L^ p\) convergence of Lagrange interpolating entire functions of exponential type

DOI10.1016/0021-9045(92)90004-8zbMath0754.42005OpenAlexW1966692286MaRDI QIDQ1196886

Qazi Ibadur Rahman, Péter Vértesi

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90004-8

zbMATH Keywords

Lagrange interpolationentire functions of exponential type\(L^ p\)-convergence

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Interpolation in approximation theory (41A05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (7)

Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals ⋮ Mean Convergence of Interpolation at Zeros of Airy Functions ⋮ A survey on mean convergence of interpolatory processes ⋮ Sampling theorem of Hermite type and aliasing error on the Sobolev class of functions ⋮ Mean convergence of entire interpolations in weighted space ⋮ Inversion of α-sine and α-cosine transforms on R ⋮ Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm

Cites Work

• Fonctions entières et intégrales de Fourier multiples. II
• Sur l'interpolation (I)
• Some inequalities for functions of exponential type
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