Polynomial approximation on $C^2$-domains Article Swipe
Feng Dai
,
Andriy Prymak
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1910.11719
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1910.11719
We introduce appropriate computable moduli of smoothness to characterize the rate of best approximation by multivariate polynomials on a connected and compact $C^2$-domain $Ω\subset \mathbb{R}^d$. This new modulus of smoothness is defined via finite differences along the directions of coordinate axes, and along a number of tangential directions from the boundary. With this modulus, we prove both the direct Jackson inequality and the corresponding inverse for best polynomial approximation in $L_p(Ω)$. The Jackson inequality is established for the full range of $0
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1910.11719
- https://arxiv.org/pdf/1910.11719
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4387845204
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https://openalex.org/W4387845204Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1910.11719Digital Object Identifier
- Title
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Polynomial approximation on $C^2$-domainsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-10-25Full publication date if available
- Authors
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Feng Dai, Andriy PrymakList of authors in order
- Landing page
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https://arxiv.org/abs/1910.11719Publisher landing page
- PDF URL
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https://arxiv.org/pdf/1910.11719Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1910.11719Direct OA link when available
- Concepts
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Mathematics, Inverse, Smoothness, Boundary (topology), Moduli, Polynomial, Type (biology), Domain (mathematical analysis), Modulus of continuity, Omega, Mathematical analysis, Regular polygon, Combinatorics, Pure mathematics, Geometry, Ecology, Biology, Quantum mechanics, PhysicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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