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- W2947106067 abstract "In this paper, some qualitative approximation results for the $(p,q)$ -Bernstein operators $B_{p,q}^{n}(f;x)$ are obtained for the Cauchy kernel $frac{1}{x-alpha }$ with a pole $alpha in {}[ 0,1]$ for $q>p>1$ . The main focus lies in the study of behavior of operators $B_{p,q}^{n}(f;x)$ for the function $f_{m}(x)=frac{1}{x-p^{m}q^{-m}}$ , $xneq p^{m}q^{-m}$ and $f_{m}(p^{m}q ^{-m})=a$ , $ain mathbb{R}$ and the extra parameter p provides flexibility for the approximation." @default.
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- W2947106067 date "2019-05-14" @default.
- W2947106067 modified "2023-09-25" @default.
- W2947106067 title "The convergence of $(p,q)$-Bernstein operators for the Cauchy kernel with a pole via divided difference" @default.
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- W2947106067 doi "https://doi.org/10.1186/s13660-019-2090-y" @default.
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