On estimates for the Jacobi transform in the space $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)

• Published in: Karpats'kì matematinì publìkacìï Vol. 7; no. 2; pp. 215 - 219
• Main Authors: El Ouadih, S., Daher, R.
• Format: Journal Article
• Language: English
• Published: Vasyl Stefanyk Precarpathian National University 24.12.2015
• Subjects: generalized modulus of continuity; jacobi generalized translation; jacobi operator; jacobi transform

In this paper, we prove the estimates for the Jacobi transform in $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$ as applied to some classes of functions characterized by a generalized modulus of continuity.