Approximation Properties of λ–Modified Positive Linear Phillips–Szász Operators
Abstract
In this paper, we introduce a new class of λ–modified Phillips–Szász operators defined on the half-line and investigate their some approximation properties. The operators preserve positivity and linearity and reproduce constant and linear functions. We establish moment estimates and prove a Korovkin-type approximation theorem as well as a Voronovskaja-type asymptotic result in weighted spaces. It is shown that the parameter λ improves the approximation behaviour for finite values of n without affecting the classical order of convergence. Numerical examples are included to support the theoretical results.
How to Cite This Article
Narendra Kumar Kurre, Premlata Verma (2026). Approximation Properties of λ–Modified Positive Linear Phillips–Szász Operators . International Journal of Applied Mathematics and Numerical Research (IJAMNR), 2(2), 39-46. DOI: https://doi.org/10.54660/IJAMNR.2026.2.2.39-46