Approximation of Bounded Continuous Functions by Linear Combinations of Phillips Operators
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AbstractWe study the approximation properties of linear combinations of the so-called Phillips operators, which can be considered as genuine Szász-Mirakjan-Durrmeyer operators. As main result, we prove a direct estimate for the rate of approximation of bounded continuous functions f E C[0,x), measured in C|\[0,x)-norm and thus generalizing the results, proved earlier by Gupta, Agrawal, and Gairola in [3]. Our estimates rely on the recent results, obtained in the joint works of M. Heilmann and the author-[10, 11]
1993 ◽
Vol 45
(7)
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pp. 1023-1030
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1968 ◽
Vol 19
(6)
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pp. 1432-1432
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1979 ◽
Vol 31
(4)
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pp. 890-896
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