On the normalizing multiplier of the generalized Jackson kernel
type: Item
instance of: scholarly article
title: On the normalizing multiplier of the generalized Jackson kernel
zbMATH Open document ID: 1126.41001
author: N. S. Pupashenko
author: Maryna Viazovska
published in: Mathematical Notes
publication date: 2007-05-21T00:00:00Z
review text: The authors of the paper under review study the normalizing coefficients \[ \gamma_{n,k}=\frac1\pi \int_{-\pi}^\pi \left(\frac{\sin\frac{nt}2}{\sin\frac t2}\right) ^{2k}dt \] of the generalized Jackson kernel \(J_{n,k}\). They obtain explicit formulas for \(\gamma_{n,k}\).
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 41-01
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 42A05
zbMATH DE Number: 5155491
zbMATH Keywords: generalized Jackson kernel
zbMATH Keywords: normalizing coefficients
zbMATH Keywords: approximation theory
zbMATH Keywords: random walk
MaRDI profile type: Publication
full work available at URL: s11006-006-0103-x
OpenAlex ID: W2066923141
cites work: Q4273944
cites work: Q3937799
cites work: Q5577906
cites work: Q5804330
cites work: Q5180175
DOI: 10.1007/S11006-006-0103-X
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description: scientific article; zbMATH DE number 5155491