Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators
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closedAccessAbstract
In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity. We obtain the quantitative q-Voronovskaya-type theorem and the q-Gruss-Voronovskaya-type theorem in terms of the weighted modulus of continuity of q-derivatives of the approximated function. In this way, we either obtain the rate of pointwise convergence of q-Szasz operators or we present these results for a subspace of continuous functions, although the classical ones are valid for differentiable functions.
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Georgian Mathematical JournalVolume
23Issue
4Collections
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