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

作者：Israfilov Daniyal M^*; Testici Ahmet

来源：Indagationes Mathematicae, 2016, 27(4): 914-922.

DOI：10.1016/j.indag.2016.06.001

• Faber polynomials
• Faber-Laurent rational functions
• Lebesgue space with variable exponent
• Direct theorems
• Inverse theorems

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

• 出版日期2016-9