【摘要】 <正> Walsh,J.L.在1931年前后提出了著名的有关复插值多项式过收敛的定理。半个世纪来,这方面的工作没有引起人们的足够重视,直到八十年代初,才开始引起许多数学家的兴趣。在短短不到十年的时间内,就出现了几十篇有关的文章,成为较热门的课题。本文将介绍Walsh过收敛问题最近几年来的主要研究成果及其发展动向。更多还原

【Abstract】 The classic theorem of J.L. Walsh on the overconvergence of differences of interpolating polynomials was showed in 1931, but it remained unnoticed for almost half a century. However, during the last few years it has provoked many mathematicians’ interest and there have been a lot of excellent results in this direction appeared in several mathematical journals. Some of these results and a list of few open questions are briefly surveyed.更多还原