Generalized Jacobian Weighted Modulus of Smoothness

Ahmad AbdulKarim Al-Dhahabi; Hawraa Abbas Almurieb

doi:10.24996/ijs.2023.64.1.27

Authors

Ahmad AbdulKarim Al-Dhahabi Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq https://orcid.org/0000-0002-5342-1787
Hawraa Abbas Almurieb Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.1.27

Keywords:

Lebesgue Space, Jacobi Weight, Besov Space, Modulus of Smoothness

Abstract

The topic of modulus of smoothness still gets the interest of many researchers due to its applicable usage in different fields, especially for function approximation. In this paper, we define a new modulus of smoothness of weighted type. The properties of our modulus are studied. These properties can be easily used in different fields, in particular, the functions in the Besov spaces when