Article ID Journal Published Year Pages File Type
4606885 Journal of Approximation Theory 2016 22 Pages PDF
Abstract

The purpose of this paper is to find the relative projection constant of ker{1}={x:∑i=1nxi=0} in ℓpn for an arbitrary nn (see Theorem 2.28). This extends a result of L. Skrzypek obtained for n=3,4n=3,4. We also improve on the formula for the relative projection constant onto hyperplanes in Lp[0,1]Lp[0,1] obtained by C. Franchetti (see Theorem 2.21) and reprove a result of S. Rolewicz (see Corollary 2.11).

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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