Moduli of Smoothness and K-Functional in L-2(Double-struck capital Rq+)-Space with Power Weight

摘要

The aim of this article is to establish the equivalence between a K-functional and a modulus of smoothness generated by a q-Bessel type operator on Double-struck capital Rq+ in the metrics of Lq,alpha 2(Double-struck capital Rq+) with a certain weight.