Thispaper presents a new integral approach for operators using the modified Laguerre polyno-mials and Păltă nea basis function to approximate functions over the interval [0, ∞). Further, the universal Korovkin’s theorem is established to investigate the approximation properties of the proposed opera-tors. Convergence analysis is examined through various analytical methods, including the Lipschitz class, Peetre’s K-functional, the second-order modulus of smoothness, and the modulus of continuity. The Voronovskaja-type asymptotic formula and approximation results in weighted spaces are also obtained. Finally, we employ Mathematica to present numerical examples that visually confirm the theoretical results.
Deo et al. (Wed,) studied this question.