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• W3195048360 abstract "We prove a new Bernstein type inequality in $L^p$ spaces associated with the tangential derivatives on the boundary of a general compact $C^2$-domain. We give two applications: Marcinkiewicz type inequality for discretization of $L^p$ norm and positive cubature formula. Both results are optimal in the sense that the number of function samples used has the order of the dimension of the corresponding space of algebraic polynomials." @default.
• W3195048360 created "2021-08-30" @default.
• W3195048360 creator A5049931231 @default.
• W3195048360 creator A5052358842 @default.
• W3195048360 date "2020-10-13" @default.
• W3195048360 modified "2023-09-25" @default.
• W3195048360 title "$L^p$-Bernstein inequalities on $C^2$-domains and applications to discretization" @default.
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