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
Blending Type Approximation by GBS Operators of Generalized Bernstein–Durrmeyer Type
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DOI: 10.1007/s00025-018-0773-1
Abstract: In this article we study an extension of the bivariate generalized Bernstein–Durrmeyer operators based on a non-negative real parameter. For these operators we get a Voronovskaja type theorem, the order of approximation using Peetre’s K-functional… read more here.
Keywords: operators generalized; durrmeyer type; approximation; generalized bernstein ... See more keywords
Comparison of Two-Parameter Bernstein Operator and Bernstein–Durrmeyer Variants
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DOI: 10.1007/s41980-018-0101-2
Abstract: The quantum calculus and the post-quantum calculus have recently gained broad popularity in computational science and engineering due to their applications to diverse areas such as solution of differential equations, approximation theory and computer-aided geometric… read more here.
Keywords: bernstein; bernstein durrmeyer; bernstein operator; two parameter ... 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
Genuine q-Stancu-Bernstein-Durrmeyer Operators
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DOI: 10.3390/sym15020437
Abstract: In the present paper, we introduce the genuine q-Stancu-Bernstein–Durrmeyer operators Znq,α(f;x). We calculate the moments of these operators, Znq,α(tj;x) for j=0,1,2, which follows a symmetric pattern. We also calculate the second order central moment Znq,α((t−x)2;x).… read more here.
Keywords: stancu bernstein; durrmeyer operators; genuine stancu; bernstein durrmeyer ... See more keywords