Abstract
The usual gliding hump method (e.g., for the proof of the uniform bounded-ness principle) consists in a succesive selection of a subsequence {nk} of indices, to obtain certain resonance properties. In this note it is shown that under appropriate additional assumptions one may even select a geometrical subsequence, i.e., nk = Mk for some well-determined natural M. Thus, in constrast to a sucessive selection, this method has the advantages of a constructive approach.
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Dickmeis, W. (1984). A Remark on Quantitative Gliding Hump Methods. In: Butzer, P.L., Stens, R.L., Sz.-Nagy, B. (eds) Anniversary Volume on Approximation Theory and Functional Analysis. ISNM 65: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 65. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5432-0_19
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DOI: https://doi.org/10.1007/978-3-0348-5432-0_19
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