Approximation in Lebesgue Space with Variable Exponent by Rational Functions on Carleson Curves

Authors

  • Mohammad Ali Tishreen University
  • Hasan Khalifa Tishreen University
  • Bashar kinj Tishreen University

Abstract

In this work, we have proved that any function in the Lebesgue space with variable exponent  defined on a rectifiable Jordan curve  can be expressed in Faber Laurent series. Then, using this series, the approximation properties in the space , where  is variable function satisfying certain conditions, by the partial sums of Faber Laurent series on a large class of curves called Carleson curves are investigated. Moreover, we have estimated the truncation error using the modulus of continuity in the space .

Author Biographies

Mohammad Ali, Tishreen University

Professor, Department of Mathematics, Faculty of Science,

Hasan Khalifa, Tishreen University

 Professor, Department of Mathematics, Faculty of Science

Bashar kinj, Tishreen University

Master student, Department of Mathematics, Faculty of sciences

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Published

2021-11-08

How to Cite

1.
علي م, خليفة ح, كنج ب. Approximation in Lebesgue Space with Variable Exponent by Rational Functions on Carleson Curves. TUJ-BA [Internet]. 2021Nov.8 [cited 2024Dec.29];43(5). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/11058

Issue

Vol. 43 No. 5 (2021): Tishreen University Journal of Research and Scientific Studies - Basic Sciences Series

Section

Master student researches

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