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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 0354-5180 2406-0933 |
DOI: | 10.2298/FIL2314629G |