Authors : Eman Samir Bhaya and Bushra Khudhair Hussein
Abstract: The degree of best approximation utilizing classical modulus of smoothness isn�t uniform. Additionally, we now and then need to enhance the degree of best approximation close to the end points. Subsequently, we have to enhance this traditional modulus of smoothness. Before, we characterize another modulus of smoothness to accomplish uniform degree of best estimate and a change of a level of such form of best approximation. Our modulus of smoothness is for k-monotone functions. Appraisals for utilizing our modulus of smoothness are presented. Applications for these estimates are likewise presented before.
Eman Samir Bhaya and Bushra Khudhair Hussein, 2018. A new Modulus of Smoothness of k-Monotone Functions in Lp Saces for p<1. Journal of Engineering and Applied Sciences, 13: 10583-10587.