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Complete monotonicity and zeros of sums of squared Baskakov functions

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Abel, Ulrich [Technische Hochschule Mittelhessen] Gawronski, Wolfgang [University of Trier] Neuschel, Thorsten [UCL]

We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the central Baskakov case we study the distribution of the complex zeros for large values of a parameter. We finally discuss the extension of some results for sums of higher powers.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2015
Language Anglais
Journal information "Applied Mathematics and Computation" - Vol. 258, no./, p. 130--137 (2015)
Peer reviewed yes
Publisher Elsevier Inc. ((United States) Philadelphia)
issn 0096-3003
e-issn 1873-5649
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
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Bibliographic reference Abel, Ulrich ; Gawronski, Wolfgang ; Neuschel, Thorsten. Complete monotonicity and zeros of sums of squared Baskakov functions. In: Applied Mathematics and Computation, Vol. 258, no./, p. 130--137 (2015)
Permanent URL http://hdl.handle.net/2078.1/171583