Answers are grounded in this paper and cite their sources.
Article provides asymptotic expansions of operators using Laguerre and Touchard polynomials, suggesting improved approximation methods.
In this article, we provide complete asymptotic expansions of the linear positive operators associated with the generalized Laguerre and Touchard polynomials, respectively. We also provide specific methods to obtain better order of approximation by these operators. Moreover, we establish quantitative difference estimates for these operators with respect to their components through moduli of smoothness. Finally, we investigate their rates of convergence through graphical illustrations.
No takes yet. Share an insight, caveat, or question.
Gupta et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: