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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.
Acknowledgments
The authors are extremely grateful to the reviewer for a careful reading of the manuscript and making valuable suggestions leading to a better presentation of the paper. The first author is thankful to the “Ministry of Human Resource and Development”, India for financial support to carry out his research work. The second author is supported by DST, SERB, India, Research Grant EEQ/2017/000201.