On On the approximation of functions by Jacobi – Dunkl expansion in the weighted space $\mathbb{L}_{2}^{(\alpha,\beta)}$

• Date: 2022
• Main Authors: Tyr, O., Daher, R.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6275
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We prove some new estimates useful in applications  for the approximation of certain classes of functions characterized by the generalized continuity modulus from the space $\mathbb{L}_{2}^{(\alpha,\beta)}$ by partial sums of the Jacobi – Dunkl series. For t...