On the approximation properties of a class of Stancu-type Sz′asz-Mirakjan-Durrmeyer operators
In this paper,a class of Sz´asz-Mirakjan-Durrmeyer operators of Stancu type are introduced,and the first to fourth order moments of the operators are calculated.Next,with tools such as modulus of continuity and K-functional,the approximation properties of the operators are discussed.The estimation of the Lipschitz function class by the operators is also studied.Finally,the Voronvskaya type asymptotic expansion of the operators is established.The theorems extend the results of Aslan(2022).
Sz´asz-Mirakjan-Durrmeyer operatorsK-functionalModulus of continuityVoronovskaya-type asymptotic formula
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