On the interpolation of discontinuous functions

被引：0

作者：

Campiti, Michele ^{[1
]}

Mazzone, Giusy ^{[1
]}

Tacelli, Cristian ^{[1
]}

机构：

[1] Univ Salento, Dept Math E De Giorgi, I-73100 Lecce, Italy

来源：

JOURNAL OF APPROXIMATION THEORY | 2012年 / 164卷 / 05期

关键词：

Interpolation; Discontinuous functions; Statistical convergence; Lerch zeta function; Hurwitz zeta function; APPROXIMATION; OPERATORS;

D O I：

10.1016/j.jat.2012.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a sequence of real numbers, we consider its subsequences converging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associated subsequences. This index turns out to be useful for a detailed description of some phenomena in interpolation theory at points of discontinuity of the first kind. In particular we give some applications to Lagrange operators on Chebyshev nodes of the first and the second kind and Shepard operators. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：731 / 753

页数：23

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