BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.25, sa.2, ss.363-373, 2019 (ESCI)
In the present paper, we consider the Durrmeyer-type operators, some of which reproduce the linear functions, while some the constant functions only. We observe that the order of approximation for these operators is O(n-1); here, we consider the linear combinations of such operators and study some approximation properties for these operators. Our results essentially improve the order of approximation.