Approximation results for Beta Jakimovski-Leviatan type operators via $q$-analogu

Md. Nasiruzzaman, Mohammed A.S. Tom, Stefano Serra-Capizzano, Nadeem Rao, Mohammad Ayman-Mursaleen


We construct a new version of $q$-Jakimovski-Leviatan type integral operators and show that set of all continuous function $f$ on $[0,\infty)$ are uniformly approximated by our new operators. Finally we construct the Stancu type operators and obtain approximation in weighted spaces. Moreover, by use of modulus of continuity we calculate the rate of convergence, Lipschitz type maximal approximation and some direct theorems.


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