
On estimates for the Jacobi transform in the space $L^{p}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)$
Author(s) -
S. El Ouadih,
Radouan Daher
Publication year - 2015
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.7.2.215-219
Subject(s) - mathematics , beta (programming language) , alpha (finance) , space (punctuation) , modulus of continuity , combinatorics , pure mathematics , type (biology) , statistics , computer science , operating system , programming language , ecology , biology , construct validity , psychometrics
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.