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Experimental Approaches to Kuttner's Problem

Experimental Approaches to Kuttner's Problem

For λ ∊ (0,2), let k(λ) denote the smallest positive value of k so that the truncated power function φλ, k (t) = (1-|t|λ) k + 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 …