Search

Your search keyword '"Kaur, Jaspreet"' showing total 3,048 results
Start Over Author "Kaur, Jaspreet"
3,048 results on '"Kaur, Jaspreet"'

19. Improved Convergence and Approximation properties of Baskakov-Durrmeyer Operators

Author

Kaur, Jaspreet and Goyal, Meenu

Subjects
Mathematics - Numerical Analysis
Abstract

In this paper, we describe two novel changes to the Baskakov-Durrmeyer operators that improve their approximation performance. These improvements are especially designed to produce higher rates of convergence, with orders of one or two. This is a major improvement above the linear rate of convergence commonly associated with conventional Baskakov-Durrmeyer operators. Our research goes thoroughly into the approximation features of these modified operators, providing a thorough examination of their convergence behavior. We concentrate on calculating precise convergence rates, providing thorough error estimates that demonstrate the new operators' efficiency as compared to the classical version. In addition, we construct Voronovskaja-type formulae for these operators, which provide insights into the asymptotic behavior of the approximation process as the operator's degree grows. By exploring these aspects, we demonstrate that the proposed modifications not only surpass the classical operators in terms of convergence speed but also offer a more refined approach to error estimation, making them a powerful tool for approximation theory.

Published
2024

20. Fractional $\alpha$-Bernstein-Kantorovich operators of order $\beta$: A new construction and approximation results

Author

Kaur, Jaspreet, Goyal, Meenu, and Ansari, Khursheed J.

Subjects
Mathematics - Classical Analysis and ODEs
Abstract

In the current article, we establish a distinct version of the operators defined by Berwal \emph{et al.}, which is the Kantorovich type modification of $\alpha$-Bernstein operators to approximate Lebesgue's integrable functions. We define its modification that can preserve the linear function and analyze its characteristics. Additionally, we construct the bivariate of blending type operators by Berwal \emph{et al.}. We analyze both its the convergence and error of approximation properties by using the conventional tools of approximation theory. Finally, we demonstrate our results by presenting examples that highlight graphical visuals using MATLAB.

Published
2024

Catalog

Books, media, physical & digital resources
See catalog results