Abstract
We construct a new version of q-Jakimovski-Leviatan type integral operators and show that set of all continuous functions f defined on [0,?) are uniformly approximated by our new operators. Finally we construct the Stancu type operators and obtain approximation properties in weighted spaces. Moreover, with the aid of modulus of continuity we discuss the rate of convergence, Lipschitz type maximal approximation and some direct theorems.
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