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Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators
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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 rth 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.
Title: Approximation by Jakimovski-Leviatan-Stancu-Durrmeyer type operators
Description:
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 rth 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.
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