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Zeros of Bernoulli-type functions and best approximations

Authors:	Friedrich Littmann

Affiliation:	^aDepartment of Mathematics, North Dakota State University, Fargo, ND 58105, USA

Abstract:	The zero sets of (D+a)ⁿg(t) with in the (t,a)-plane are investigated for and .The results are used to determine entire interpolations to functions , which give representations for the best approximation and best one-sided approximation from the class of functions of exponential type η>0 to .

Keywords:	Best one-sided approximation Entire interpolation Nodal set Zeros of entire functions Bernoulli polynomials Extremal majorants Variation diminishing functions
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