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oai:docta.ucm.es:20.500.14352/179062025-04-08T14:40:31Zcom_20.500.14352_14col_20.500.14352_15

Polynomial Inequalities on the π/4-Circle Sector Araujo, G. Jiménez Rodríguez, P. Muñoz-Fernández, Gustavo A. Seoane Sepúlveda, Juan Benigno 517.98 Bernstein and Markov inequalities Unconditional constants Polarizations constants Polynomial inequalities Homogeneous polynomials Extreme points. Análisis funcional y teoría de operadores A number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}. Among the main results we can find sharp Bernstein and Markov inequalities and the calculation of the polarization constant and the unconditional constant of the canonical basis of the space P (2D (π/4)). Ministerio de Ciencia e Innovación (MICINN) CAPES Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-17T21:59:45Z 2023-06-17T21:59:45Z 2017 journal article https://hdl.handle.net/20.500.14352/17906 0944-6532 eng MTM2012-34341 8015/14-7 open access application/pdf Heldermann Verlag