scientific article

zbMath1501.41001MaRDI QIDQ3391374

D. L. Rodríguez-Vidanes, Juan Fernández-Sánchez, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda

Publication date: 28 March 2022

Full work available at URL: https://www.heldermann.de/JCA/JCA29/JCA291/jca29005.htm

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zbMATH Keywords

polynomial inequalitiesreal Hilbert spaceBernstein and Markov inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05)

Cites Work

• A complete study of the geometry of 2-homogeneous polynomials on circle sectors
• A proof of Markov's theorem for polynomials on Banach spaces
• The unit ball of the complex \({{\mathcal P}(^3H)}\)
• Unconditional constants and polynomial inequalities
• Quantitative and qualitative estimates on the norm of products of polynomials
• Geometry of Banach spaces of trinomials
• Linear subsets of nonlinear sets in topological vector spaces
• Sharp Bernstein inequalities using convex analysis techniques
• Geometry of homogeneous polynomials on non symmetric convex bodies
• Bounds on the derivatives of polynomials on Banach spaces
• Bernstein and Markov-type inequalities for polynomials on real Banach spaces
• On the zero-set of 2-homogeneous polynomials in Banach spaces
• Supremum norms for quadratic polynomials
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