2019/09/15 by Sathish Kumar Angamuthu, Angamuthu, Sathish Kumar, Shivam Bajpeyi +1 · 2 citations
Computer Science · Mathematics · #Approximation Theory and Sequence Spaces #cs.NA #math.FA #math.NA
paper · pdf · doi:10.48550/arxiv.1909.06807
arxiv created 2020/02/07 · arxiv updated 2020/02/10
In this article, we analyze the behaviour of the new family of Kantorovich type exponential sampling series. We obtain the point-wise approxi mation theorem and Voronovskaya type theorem for the series. Further, we obtain a representation formula and an inverse result approximation for these operators. Finally, we give some examples of kernel functions to which the theory can be applied along with the graphical representation.