Saturation of Kantorovich type operators |
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Authors: | V Totik |
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Institution: | (1) József Attila Tudományegyetem, Bolyai Intézet, Aradi Vértanúk Tere 1, H-6720 Szeged, Hungary |
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Abstract: | It is proved that an integrable functionf can be approximated by the Kantorovich type modification of the Szász—Mirakjan and Baskakov operators inL
1 metric in the optimal order {n
–1} if and only if
2
f is of bounded variation where
and
, respectively. |
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Keywords: | Primary 41A36 41A25 41A27 |
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