Geodesic
Approximation by a modification of operators of exponential type associated with the Baskakov operators
Filomat, Tome 37 (2023) no. 15, p. 5005

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In the current article, we modify the operators of exponential type associated with the Baskakov operators so as to preserve the linear functions. Initially, we obtain the moments and central moments for the modified form. Further, we derive few convergence results including Voronovskaja type asymptotic formula and validate our results through graphical illustration. In the end, we obtain the difference estimate between the exponential type operators associated with the Baskakov operators and its modified form.
DOI : 10.2298/FIL2315005A
Classification : 41A25
Keywords: Exponential type approximation operators, Baskakov basis function, Modulus of continuity, Asymptotic formula, Difference estimate 
Gunjan Agrawal; Man Singh Beniwal. Approximation by a modification of operators of exponential type associated with the Baskakov operators. Filomat, Tome 37 (2023) no. 15, p. 5005 . doi: 10.2298/FIL2315005A
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     title = {Approximation by a modification of operators of exponential type associated with the {Baskakov} operators},
     journal = {Filomat},
     pages = {5005 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315005A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315005A/}
}
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