Approximation by Faber-Laurent rational functions in Lebesgue spaces with variable exponent

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• 作者：Daniyal M. Israfilov^a ; ^b ; ^{mdaniyal@balikesir.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Ahmet Testici^a ; ^{testiciahmet@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Faber polynomials ; Faber&ndash ; Laurent rational functions ; Lebesgue space with variable exponent ; Direct theorems ; Inverse theorems
• 刊名：Indagationes Mathematicae
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：27
• 期：4
• 页码：914-922
• 全文大小：232 K

文摘

Let Γ$\Gamma$ be a rectifiable Dini-smooth Jordan curve in the complex plane C$\mathbb{C}$. In this work the approximation properties of the Faber–Laurent series expansions in the variable exponent Lebesgue spaces defined on the curve Γ$\Gamma$ are investigated.