Voronovskaya-type inequality for the MKZ-Kantorovich operator
Abstract
We prove a Voronovskaya-type inequality for the Kantorovich-type modification of Meyer-König and Zeller operator \begin{equation*}\label{MKZK} \widetilde M_n(f,x)= \sum_{k=0}^{\infty} m_{n,k}(x)\frac{(n+k+1)(n+k+2)}{n+1}\int_{\frac{k}{n+k+1}}^{\frac{k+1}{n+k+2}}f(u)du \end{equation*} where \begin{equation*}\label{MKZbasic} m_{n,k}(x)= \binom{n+k}{k} x^k (1-x)^{n+1}. \end{equation*}
Keywords
References
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Details
Primary Language
English
Subjects
Approximation Theory and Asymptotic Methods
Journal Section
Research Article
Authors
Ivan Gadjev
*
0000-0002-4444-9921
Bulgaria
Publication Date
March 6, 2026
Submission Date
October 23, 2025
Acceptance Date
March 1, 2026
Published in Issue
Year 2026 Volume: 9 Number: 1
