A new type of exponential operator

In the present research, we investigate a novel type of exponential operator. This operator is developed using p(x) = x4/3. Here, we establish the direct estimate, quantitative variants of the Voronovskaja theorem, same quantification for functions having exponential growth and some other convergenc...

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Veröffentlicht in:Filomat 2023, Vol.37 (14), p.4629-4638
Hauptverfasser: Gupta, Vijay, Anjali, A
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description In the present research, we investigate a novel type of exponential operator. This operator is developed using p(x) = x4/3. Here, we establish the direct estimate, quantitative variants of the Voronovskaja theorem, same quantification for functions having exponential growth and some other convergence estimates for the newly defined exponential-type operator. Later in the end, we analyze graphically the convergence of the new operator for the exponential function e?4x.
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title A new type of exponential operator
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