Stability inequalities for Lebesgue constants via Markov-like inequalities
نویسندگان
چکیده
We prove that L∞-norming sets for finite-dimensional multivariate function spaces on compact sets are stable under small perturbations. This implies stability of interpolation operator norms (Lebesgue constants), in spaces of algebraic and trigonometric polynomials. 2010 AMS subject classification: 41A10, 41A63, 42A15, 65D05.
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تاریخ انتشار 2017