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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

8 Zitate (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.

Originalsprache	Englisch
Zeitschrift	Journal of Fourier Analysis and Applications
Jahrgang	2
Ausgabenummer	6
Seiten (von - bis)	x3-610
ISSN	1069-5869
Publikationsstatus	Veröffentlicht - 01.12.1996

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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.

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AU - Selig, K.

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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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JF - Journal of Fourier Analysis and Applications

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Orthogonal Algebraic Polynomial Schauder Bases of Optimal Degree

Abstract

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