Approximation Properties Variant of Baskakov–Schurer–Szász Operators Induced by Sheffer Polynomials

This paper introduces a new class of Baskakov–Schurer–Szász operators generated by Sheffer polynomials in a special case. We establish a Korovkin-type theorem for these operators and investigate their uniform convergence and error estimates using the Ditzian–Totik modulus of smoothness. We also derive weighted approximation and shape-preserving properties for this class of operators. These results extend the theory of positive linear operators and provide tools applicable in approximation and numerical analysis.