Experimental approaches to Kuttner's problem

Tilmann Gneiting; Kjell Kanis; Donald Richards

doi:10.1080/10586458.2001.10504434

Experimental approaches to Kuttner's problem

Tilmann Gneiting, Kjell Kanis, Donald Richards

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Abstract

For λ ϵ (0, 2), let k(λ) denote the smallest positive value of k so that the truncated power function (formula presented) 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 (formula presented) for n ϵ N.

Original language	English (US)
Pages (from-to)	117-124
Number of pages	8
Journal	Experimental Mathematics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1080/10586458.2001.10504434
State	Published - Jan 1 2001

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "For λ ϵ (0, 2), let k(λ) denote the smallest positive value of k so that the truncated power function (formula presented) 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 (formula presented) for n ϵ N.",

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