2020/02/07 by B. Shivam, Shivam, B., A. Sathish Kumar +1
Mathematics · #Approximation Theory and Sequence Spaces #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.2002.02639
In this article, we analyse the Kantorovich type exponential sampling operators and its linear combination. 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. Subsequently, we prove the estimates concerning the order of convergence for these linear combinations. Finally, we give some examples of kernels along with the graphical representations.