Geodesic
A new type of exponential operator
Filomat, Tome 37 (2023) no. 14, p. 4629

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DOI

In the present research, we investigate a novel type of exponential operator. This operator is developed using p(x) = x 4/3. 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 .
DOI : 10.2298/FIL2314629G
Classification : 41A35, 41A25, 41A20
Keywords: Exponential-type operator, moments, direct estimate, Voronovskaja theorem, exponential growth, quantitative estimates, convergence estimates 
Vijay Gupta; Anjali . A new type of exponential operator. Filomat, Tome 37 (2023) no. 14, p. 4629 . doi: 10.2298/FIL2314629G
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     title = {A new type of exponential operator},
     journal = {Filomat},
     pages = {4629 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314629G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314629G/}
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