Abstract:This paper is devoted to exploring asymptotic behavior of the Szász–Mirakian-type operators including the Szász–Mirakian operators Sn(f;x) and its two kinds of integral modifications [Formula: see text], [Formula: see text]. For these operators, we obtain the complete asymptotic expansions in the form of [Formula: see text] all coefficients ak (f;x) of n-k (k=1,2,…) are calculated explicitly in terms of the Stirling numbers of the first and second kind.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.