Complete monotonicity and zeros of sums of squared Baskakov functions

Ulrich Abel, Wolfgang Gawronski and Thorsten Neuschel

Applied Mathematics and Computation, 2015, vol. 258, issue C, 130-137

Abstract: 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.

Keywords: Baskakov operator; Complete monotonicity; Convexity; Chebyshev-Grüss-type inequality; Distribution of zeros; Complete elliptic integral of the first kind (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:130-137

DOI: 10.1016/j.amc.2015.01.062

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