Polynomial approximation with an exponential weight on the real semiaxis

DOI10.1007/s10474-013-0348-2zbMath1299.41010OpenAlexW1971178691MaRDI QIDQ2439820

Giuseppe Mastroianni, Incoronata Notarangelo

Publication date: 17 March 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-013-0348-2

zbMATH Keywords

weighted polynomial approximationJackson theoremStechkin inequalityunbounded intervalexponential weight

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (4)

A Nyström method for a class of Fredholm integral equations on the real semiaxis ⋮ A note on Hermite-Fejér interpolation at Laguerre zeros ⋮ Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey ⋮ Lagrange interpolation at Pollaczek-Laguerre zeros on the real semiaxis

Cites Work

• \(L^{p}\)-convergence of Fourier sums with exponential weights on \((-1,1)\)
• Fourier sums with exponential weights on \((-1,1):L^1\) and \(L^\infty\) cases
• Generalized Bernstein polynomials with Pollaczek weight
• Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). I]
• Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). II]
• Approximation with exponential weights in \([-1,1\)]
• Polynomial approximation on infinite intervals with weights having inner zeros
• Weighted \(L_ p\) error of Lagrange interpolation
• Lagrange interpolation with exponential weights on \(( -1,1)\)
• Polynomial inequalities with an exponential weight on \((0,+\infty)\)
• Polynomial inequalities and embedding theorems with exponential weights on \((-1, 1)\)
• Orthogonal polynomials for exponential weights
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