Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics
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Publication:505899
DOI10.1016/j.jat.2016.11.007zbMath1358.41008OpenAlexW2560714042MaRDI QIDQ505899
Publication date: 26 January 2017
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2016.11.007
Markov-Bernstein inequalityalgebraic and trigonometric polynomialsentire functions of exponential type and semitype
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)
Related Items (12)
On Bernstein-Type Inequalities for Rational Functions with Prescribed Poles ⋮ The Landau-Kolmogorov problem on a finite interval in the Taikov case ⋮ Asymptotics of sharp constants in Markov-Bernstein-Nikolskii type inequalities with exponential weights ⋮ Sharp constants of approximation theory. V. An asymptotic equality related to polynomials with given Newton polyhedra ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants ⋮ Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics ⋮ Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\) ⋮ Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets ⋮ Some inequalities for self-inversive rational functions with prescribed poles ⋮ Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight ⋮ Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball
Cites Work
- Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
- On the sharp Jackson-Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
- Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval
- Multidimensional limit theorems of the theory of best polynomial approximations
- Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight
- \(L_p\) Christoffel functions, \(L_p\) universality, and Paley-Wiener spaces
- On sharp constants in Bernstein-Nikolskii inequalities
- Limit theorems for the best polynomial approximations in the L? metric
- L p Inequalities for Entire Functions of Exponential Type
- New Inequalities of Markov Type
- Concerning Polynomials on the Unit Interval
- Extremal properties of entire functions of exponential type
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