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2001 Experimental Approaches to Kuttner's Problem
Tilmann Gneiting, Kjell Konis, Donald Richards
Experiment. Math. 10(1): 117-124 (2001).

Abstract

For λ $\in$(0, 2) let k(λ) denote the smallest positive value of κ so that the truncated power function φ λ, κ (t) = (1 -- |t|λ)κ+ is positive definite. We give lower and upper estimates of Kuttner's function k(λ) through detailed numerical and symbolic computations, and we show analytically that k((4n+1)/(2n+1)) ≤ 2n+1 for n $\in$ N.

Citation

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Tilmann Gneiting. Kjell Konis. Donald Richards. "Experimental Approaches to Kuttner's Problem." Experiment. Math. 10 (1) 117 - 124, 2001.

Information

Published: 2001
First available in Project Euclid: 30 August 2001

zbMATH: 1001.42006
MathSciNet: MR1 822 857

Subjects:
Primary: 42A82
Secondary: 65D20

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 1 • 2001
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