Approximation of complex functions from Lebesgue space with variable exponent L^p(.) (Γ) on Dini smooth curves

Authors

  • Mohammad Ali
  • Hasan Baddour
  • Nour Dahman

Abstract

 

.

In this research, we have studied some of the new properties of the fractional modulus of smoothness defined by the researcher Akgun in 2011. Then we have investigated the direct problem of approximation theory of complex functions from Lebesgue spaces with variable exponent  on Dini smooth curves by rational functions related to Faber polynomials using fractional modulus of smoothness. We have obtained approximation of analytic functions from Smirnov class with variable exponent  on a simply connected domain  bounded by Dini smooth curve using fractional modulus of smoothness. It should be noted that in 2016, both researchers Israfilov and Testici studied approximation of functions from  on Dini smooth curves using modulus of smoothness identifier with the following relation:

.

Downloads

Published

2018-11-14

How to Cite

1.
Ali M, Baddour H, Dahman N. Approximation of complex functions from Lebesgue space with variable exponent L^p(.) (Γ) on Dini smooth curves. TUJ-BA [Internet]. 2018Nov.14 [cited 2024Apr.26];40(5). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/4640

Issue

Vol. 40 No. 5 (2018): العلوم الأساسية

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.