On a New Class of Quantum Sequences of Szász Wavelet Operators and Convergence in L _p Spaces

This work establishes the approximation properties of a new family of q ‐Szász–Mirakjan operators on continuous functions over [0, ∞) using wavelet analysis. Alongside constructing these q ‐Szász–type operators, we introduce their Kantorovich variants to evaluate L _p ‐approximation performance 1 ≤ p < ∞. We provide a complete characterization of second‐order Lipschitz spaces and establish various L _p inequalities via the Ditzian–Totik K ‐functional. The theoretical results are supported by a numerical example and graphical representations.