Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree

T. Kilgore; J. Prestin; K. Selig

Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree

T. Kilgore^*, J. Prestin, K. Selig

^*Corresponding author for this work

Institute of Mathematics

8 Citations (Scopus)

Abstract

For any fixed ε > 0 we construct an orthonormal Schauder basis {p_u}_μ-0^∞ for C[-1, 1] consisting of algebraic polynomials p_μ with deg p_μ ≤ (1 + ε)μ. The orthogonality is with respect to the Chebyshev weight.

Original language	English
Journal	Journal of Fourier Analysis and Applications
Volume	2
Issue number	6
Pages (from-to)	x3-610
ISSN	1069-5869
Publication status	Published - 01.12.1996

Cite this

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title = "Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree",

abstract = "For any fixed ε > 0 we construct an orthonormal Schauder basis \{pu\}μ-0∞ for C[-1, 1] consisting of algebraic polynomials pμ with deg pμ ≤ (1 + ε)μ. The orthogonality is with respect to the Chebyshev weight.",

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T1 - Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree

AU - Kilgore, T.

AU - Prestin, J.

AU - Selig, K.

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Y1 - 1996/12/1

N2 - For any fixed ε > 0 we construct an orthonormal Schauder basis {pu}μ-0∞ for C[-1, 1] consisting of algebraic polynomials pμ with deg pμ ≤ (1 + ε)μ. The orthogonality is with respect to the Chebyshev weight.

AB - For any fixed ε > 0 we construct an orthonormal Schauder basis {pu}μ-0∞ for C[-1, 1] consisting of algebraic polynomials pμ with deg pμ ≤ (1 + ε)μ. The orthogonality is with respect to the Chebyshev weight.

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M3 - Journal articles

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VL - 2

SP - x3-610

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 6

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Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree

Abstract

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