Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators

M. Mursaleen, Shagufta Rahman, Khursheed Ansari
2019 Filomat  
In the present paper, we introduce Stancu type modification of Jakimovski-Leviatan-Durrmeyer operators. First, we estimate moments of these operators. Next, we study the problem of simultaneous approximation by these operators. An upper bound for the approximation to r th derivative of a function by these operators is established. Furthermore, we obtain A-statistical approximation properties of these operators with the help of universal korovkin type statistical approximation theorem.
doi:10.2298/fil1906517m fatcat:5j5pxavuenf5torne36225qxum