Mazur–Orlicz theorem and asymptotic formula for the error in supreme norm

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摘要

We prove Mazur–Orlicz theorem in supreme norm, cf. Mazur and Orlicz, Sur quelques propriétés des fonctions periodiques, Studia Math. 9 (1940) 1–16 using ergodic theory. We use it in the calculation of asymptotic formula for the error in cardinal interpolation and in shift invariant operators.

论文关键词：Asymptotic formula,Mazur–Orlicz theorem

论文评审过程：Received 12 October 2002, Revised 8 August 2003, Available online 17 March 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2003.09.056