Abstract
The literature contains results on the relation between the smoothness of a real function f of several real variables and the degree of approximation to f by splines. The purpose of the present note is to study two elementary cases and to derive the corresponding results by simple methods, allowing the range of f to lie in a general space.
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Reference
D. W. Hall and G. L. Spencer, II, Elementary Topology John Wiley and Sons, New York, 1955.
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© 1978 Springer Basel AG
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Shisha, O., Verma, G.R. (1978). On Lipschitz Condition and Zygmund’s Property for Functions of Several Variables. In: Beckenbach, E.F. (eds) General Inequalities 1 / Allgemeine Ungleichungen 1. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5563-1_10
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DOI: https://doi.org/10.1007/978-3-0348-5563-1_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5565-5
Online ISBN: 978-3-0348-5563-1
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