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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Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 - 2001

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1080/10586458.2001.10504434

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title = "Experimental approaches to Kuttner's problem",

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.",

author = "Tilmann Gneiting and Kjell Kanis and Donald Richards",

note = "Funding Information: At the time of his contribution to the paper, Konis was an undergraduate student at the University of Washington. His research was funded by the University of Washington through the Office of Undergraduate Education, and by the National Science Foundation under grant DMS-9810726, Integration of Research and Education in the Applied and Computational Mathematical Sciences. Richards' research was supported in part by National Science Foundation grant DMS-9703705, and by a grant from the Bell Fund to the Institute for Advanced Study.",

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doi = "10.1080/10586458.2001.10504434",

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T1 - Experimental approaches to Kuttner's problem

AU - Gneiting, Tilmann

AU - Kanis, Kjell

AU - Richards, Donald

N1 - Funding Information: At the time of his contribution to the paper, Konis was an undergraduate student at the University of Washington. His research was funded by the University of Washington through the Office of Undergraduate Education, and by the National Science Foundation under grant DMS-9810726, Integration of Research and Education in the Applied and Computational Mathematical Sciences. Richards' research was supported in part by National Science Foundation grant DMS-9703705, and by a grant from the Bell Fund to the Institute for Advanced Study.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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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UR - https://www.scopus.com/pages/publications/0035607223#tab=citedBy

U2 - 10.1080/10586458.2001.10504434

DO - 10.1080/10586458.2001.10504434

M3 - Article

AN - SCOPUS:0035607223

SN - 1058-6458

VL - 10

SP - 117

EP - 124

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 1

ER -

Experimental approaches to Kuttner's problem

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