Approximation Properties of -Szász-Mirakjan-Durrmeyer Operators

[摘要] In this article, we introduce a new Durrmeyer-type generalization of - Szász-Mirakjan operators using the - gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja-type asymptotic formula is investigated and point-wise estimates of these operators are studied. Also, some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre - functional. Finally, the rate of convergence and weighted approximation of these operators are presented.

[学科分类] 护理学