Zeros of Bernoulli-type functions and best approximations

نویسنده

  • Friedrich Littmann
چکیده

The zero sets of (D + a)g(t) with D = d/dt in the (t, a)plane are investigated for g(t) = te(e−1) and g(t) = e(e+1). The results are used to determine entire interpolations to functions xn+e , which give representations for the best approximation and best one-sided approximation from the class of functions of exponential type η > 0 to xn+e .

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 161  شماره 

صفحات  -

تاریخ انتشار 2009