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- W2592061489 abstract "In this paper, we introduce Sz´asz-Mirakjan-Durrmeyer operators and BaskakovDurrmeyeroperators with respect to an arbitrary measure, thus extending thisnatural generalization from the already studied case of the Bernstein-Durrmeyeroperators to these two closely related cases. We establish convergence of the newoperators, namely, pointwise convergence at each point of continuity of a functionin the support of the measure, and uniform convergence in every compact set inthe interior of the support of the measure. In case when the measure is finite, wealso show convergence in the corresponding weighted Lp-spaces, 1 ≤ p < ∞. Inthe latter case, we also give estimates for the rate of convergence in terms of aK-functional." @default.
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- W2592061489 date "2016-01-01" @default.
- W2592061489 modified "2023-09-26" @default.
- W2592061489 title "Szász-Mirakjan-Durrmeyer and Baskakov-Durrmeyer operators with respect to arbitrary measure" @default.
- W2592061489 hasPublicationYear "2016" @default.
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