Simultaneous Approximation by a New Sequence of Integral Type Based on Two Parameters
Positive and linear operators
Simultaneous approximation
Voronovskaja-type asymptotic formula
order of approximation and Korovkin’s theorem
This paper introduces a generalization sequence of positive and linear operators of integral type based on two parameters to improve the order of approximation. First, the simultaneous approximation is studied and a Voronovskaja-type asymptotic formula is introduced. Next, an error of the estimation in the simultaneous approximation is found. Finally, a numerical example to approximate a test function and its first derivative of this function is given for some values of the parameters.
