Quantitative Estimates in $$L^{p}$$Lp-Approximation by Bernstein–Durrmeyer–Choquet Operators with Respect to Distorted Borel Measures
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DOI: 10.1007/s00025-017-0759-4
Abstract: For the multivariate Bernstein–Durrmeyer operator $$D_{n, \mu }$$Dn,μ, written in terms of the Choquet integral with respect to a distorted probability Borel measure $$\mu $$μ on the standard d-dimensional simplex $$S^{d}$$Sd, quantitative $$L^{p}$$Lp-approximation results, $$1\le… read more here.
Keywords: bernstein durrmeyer; estimates approximation; approximation bernstein; quantitative estimates ... See more keywords
Fractional approximation by Bernstein operators
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DOI: 10.2298/fil2415499y
Abstract: We estimate the fractal approximation rate for approximation by Bernstein operators by using the Ditzian-Totik type modulus of continuity. Our results improve the previous theorem of Anastassiou. In the proof, the equivalence between the K-functional… read more here.
Keywords: approximation bernstein; bernstein operators; approximation; fractional approximation ... See more keywords