On the positive definiteness of some functions related to the Schoenberg problem
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617090036
Abstract: For a broad class of functions f: [0,+∞) → ℝ, we prove that the function f(ρλ(x)) is positive definite on a nontrivial real linear space E if and only if 0 ≤ λ ≤ α(E,… read more here.
Keywords: related schoenberg; schoenberg; definiteness functions; functions related ... See more keywords
Preserving the Shape of Functions by Applying Multidimensional Schoenberg-Type Operators
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DOI: 10.3390/sym13061016
Abstract: The paper presents a multidimensional generalization of the Schoenberg operators of higher order. The new operators are powerful tools that can be used for approximation processes in many fields of applied sciences. The construction of… read more here.
Keywords: applying multidimensional; schoenberg; preserving shape; shape functions ... See more keywords