Research Communication | Open Access
Volume 2021 | Communication ID 268
Volume 2021 | Communication ID 268
| Weighted approximation for the generalized discrete Fourier-Jacobi transform |
Othman Tyr, Radouan Daher
Received |
Accepted |
Published |
January 31, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The purpose of this work is to prove an analog of the classical Titchmarsh's theorem [5, Theorem 84] and Younis's Theorem [6, Theorem 2.6] on the image under the discrete Fourier-Jacobi transform of a set of functions satisfying a generalized Lipschitz condition in the weighted spaces Lp. For this purpose, we use a generalized translation operator which was defined by Flensted-Jensen and Koornwinder.