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
K-functional Kantorovich operator Meyer-König and Zeller operator direct theorem strong converse inequality
References
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Details
| Primary Language | English |
|---|---|
| Subjects | Approximation Theory and Asymptotic Methods |
| Journal Section | Research Article |
| Authors | |
| Submission Date | October 23, 2025 |
| Acceptance Date | March 1, 2026 |
| Publication Date | March 6, 2026 |
| DOI | https://doi.org/10.33205/cma.1809592 |
| IZ | https://izlik.org/JA53UF27YP |
| Published in Issue | Year 2026 Volume: 9 Issue: 1 |
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