Wavelets-Associated Approximation to the Family of New Class of q-Szász Operators Via q-Analog

Abstract

This study investigates the approximation properties of a recently developed class of q-Sz & aacute;sz-Mirakjan operators integrated with wavelets. By constructing these q-Sz & aacute;sz-type operators and introducing their Kantorovich variants, we establish Lp-approximation results for 1 <= p <= infinity. Furthermore, we characterize second-order Lipschitz function spaces and derive several Lp inequalities utilizing the Ditzian-Totik K-functional. The theoretical results are supported by graphical representations and illustrative examples.MSC2020 Classification: Primary 41A25, 41A36; Secondary 33C45.