The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
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DOI: 10.3390/axioms14060472
Abstract: In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered. If the set {log(m+α):m∈N0}… read more here.
Keywords: approximation analytic; function; analytic functions; lerch zeta ... See more keywords