Wavelets associated approximation enhanced by Szász-type operators initiated by q-properties

In the present article we obtain the wavelet associated approximation properties of q-Szász type operators by use of sequences of continuous functions on $[0, \infty)$. We construct the sequences of q-Szász type operators and introduce the Kantrovich variant of q-Szász type operators by wavelets, then obtain the $L_{p}$-approximation for $1\leq p < \infty $. We obtain some characterization of second-order Lipschitz function spaces. We use the Ditzian-Totik K-functional and obtain some inequalities in $L_{p}$ spaces.