Experimental Approaches to Kuttner's Problem
Gneiting, Tilmann ; Konis, Kjell ; Richards, Donald
Experiment. Math., Tome 10 (2001) no. 3, p. 117-124 / Harvested from Project Euclid
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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.
Publié le : 2001-05-14
Classification:  42A82,  65D20 
@article{999188426,
     author = {Gneiting, Tilmann and Konis, Kjell and Richards, Donald},
     title = {Experimental Approaches to Kuttner's Problem},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 117-124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/999188426}
}

Gneiting, Tilmann; Konis, Kjell; Richards, Donald. Experimental Approaches to Kuttner's Problem. Experiment. Math., Tome 10 (2001) no. 3, pp.  117-124. http://gdmltest.u-ga.fr/item/999188426/