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• W2054394673 abstract "Recently, Popa and Raşa have shown the stability/ instability of some classical operators defined on $$[0,1]$$ and obtained the best constant when the positive linear operators are stable in the sense of Hyers–Ulam. In this paper we show that the Kantorovich–Stancu type operators, King’s operator, Bernstein–Stancu type operators, and Kantorovich–Bernstein–Stancu type operators with shifted knots are Hyers–Ulam stable. Further we find the best Hyers–Ulam stability constants for some of these operators. We also prove that Szász–Mirakjan and Kantorovich–Szász–Mirakjan type operators are unstable in the sense of Hyers and Ulam." @default.
• W2054394673 created "2016-06-24" @default.
• W2054394673 creator A5025652686 @default.
• W2054394673 creator A5050489155 @default.
• W2054394673 date "2015-01-14" @default.
• W2054394673 modified "2023-09-25" @default.
• W2054394673 title "On the stability of some positive linear operators from approximation theory" @default.
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• W2054394673 doi "https://doi.org/10.1007/s13373-015-0064-z" @default.
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