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

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. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.