Abstract
We consider the functions h μ,ν introduced by Zastavnyi in 2002. The family of these functions is a subfamily of Buhmann’s functions and contains the families of functions introduced by Trigub in 1987 and Wendland in 1995. We investigate the problems of positive definiteness and smoothness at zero for the linear combinations β ε2 h μ,ν (x/β 2) − β ε1 μ,ν (x/β 1).
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Submitted by F. G. Avkhadiev
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Zastavnyi, V.P., Porcu, E. On positive definiteness of some radial functions. Lobachevskii J Math 38, 386–394 (2017). https://doi.org/10.1134/S1995080217020226
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DOI: https://doi.org/10.1134/S1995080217020226