Blending type approximation by generalized Bernstein-Durrmeyer type operators
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DOI: 10.18514/mmn.2018.2216
Abstract: The approximation theory by linear positive operators investigates how the functions can be best approximated by simpler functions. The most famous basic result for convergence of linear positive operators is due to Weierstrass who introduced… read more here.
Keywords: approximation; generalized bernstein; approximation generalized; type ... See more keywords
Approximation Properties of the Blending-Type Bernstein-Durrmeyer Operators
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DOI: 10.3390/axioms12010005
Abstract: We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator. Then, the local and global approximation theorems are obtained by using… read more here.
Keywords: durrmeyer operators; type; approximation; approximation properties ... See more keywords