Approximation in compact sets by q-Stancu–Faber polynomials, q>1

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• 作者：Sorin G. Gal^a ; ^{galso@uoradea.ro"" rel=""nofollow}
• 关键词：Conformal mapping ; Faber polynomials ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TYJ-52P9B4C-2&_mathId=mml8&_pii=S0898122111002665&_rdoc=10&_issn=08981221&_acct=C000052141&_version=1&
• 刊名：Computers and Mathematics with Applications
• 出版年：2011
• 出版时间：May 2011
• 年：2011
• 卷：61
• 期：10
• 页码：3003-3009
• 全文大小：240 K

文摘

We prove that the q-Stancu–Faber polynomials, q>1, attached to a compact set and to an analytic function on G, can represent good alternatives to the partial sums of the Faber series attached to the same function and subset, both giving the geometric progression order of approximation q⁻ⁿ.