Approximation of complex functions from Lebesgue space with variable exponent L^p(.) (Γ) on Dini smooth curves
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
How to Cite
Issue
Section
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:
- Share — copy and redistribute the material in any medium or format
- 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.