TITLE:
Equivalence of K-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line
AUTHORS:
Reem Fahad Al Subaie, Mohamed Ali Mourou
KEYWORDS:
Differential-Difference Operator, Generalized Fourier Transform, Generalized Translation Operators, K-Functionals, Modulus of Smoothness
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.6,
May
28,
2015
ABSTRACT:
This paper is intended to establish the equivalence between K-functionals and modulus of smoothness
tied to a Dunkl type operator on the real line.