%0 Journal Article %T Equivalence of <i>K</i>-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line %A Reem Fahad Al Subaie %A Mohamed Ali Mourou %J Advances in Pure Mathematics %P 367-376 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.56035 %X

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.

%K Differential-Difference Operator %K Generalized Fourier Transform %K Generalized Translation Operators %K K-Functionals %K Modulus of Smoothness %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56727