Abstract
In this paper we will construct simple and efficient Lebesgue-Stieltjes type convolution operators for multidimensional approximation of functions of bounded variation. We will work out their basic properties including a sharp result concerning local approximation and will take a look at their behaviour when applied to some special functions.
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© 1989 Birkhäuser Verlag Basel
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Lenze, B. (1989). On Multidimensional Lebesgue-Stieltjes Convolution Operators. In: Multivariate Approximation Theory IV. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7298-0_24
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DOI: https://doi.org/10.1007/978-3-0348-7298-0_24
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7300-0
Online ISBN: 978-3-0348-7298-0
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