On approximation by Kantorovich exponential sampling operators
In the present article, we extend our study of Kantorovich type exponential sampling
operators introduced in [4]. We derive the Voronovskaya type theorem and its quantitative
estimates for these operators in terms of an appropriate K-functional. Further, we improve
the order of approximation by using the convex type linear combinations of these operators.
Finally, we provide few examples of kernels along with the graphical representations.
operators introduced in [4]. We derive the Voronovskaya type theorem and its quantitative
estimates for these operators in terms of an appropriate K-functional. Further, we improve
the order of approximation by using the convex type linear combinations of these operators.
Finally, we provide few examples of kernels along with the graphical representations.
Abstract
In the present article, we extend our study of Kantorovich type exponential sampling operators introduced in [4]. We derive the Voronovskaya type theorem and its quantitative estimates for these operators in terms of an appropriate K-functional. Further, we improve the order of approximation by using the convex type linear combinations of these operators. Finally, we provide few examples of kernels along with the graphical representations.
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