Abstract

We search for extensions of several sharp Bernstein type inequalities already known for polynomials on the real line, to the case of polynomials on a real Hilbert space.

Author information

Contact details are reproduced from the original publication and may be historical.

Juan Fernández-Sánchez

Grupo de Investigación de Teoría de Cópulas y Aplicaciones, Universidad de Almería, Spain

jfsjufesa@gmail.es

Gustavo A. Muñoz-Fernández

Dep. de Análisis Matemático y Matemática Aplicada, Inst. de Matemática Interdisciplinar, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, Spain

gustavo_fernandez@mat.ucm.es

Daniel L. Rodríguez-Vidanes

Dep. de Análisis Matemático y Matemática Aplicada, Inst. de Matemática Interdisciplinar, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, Spain

darodr05@ucm.es

Juan B. Seoane-Sepúlveda

Dep. de Análisis Matemático y Matemática Aplicada, Inst. de Matemática Interdisciplinar, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, Spain

jseoane@mat.ucm.es

Keywords

  • Polynomial inequalities
  • Bernstein and Markov inequalities
  • real Hilbert space

Mathematics Subject Classification

41A17; 26D05

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Suggested citation

J. Fernández-Sánchez, G. A. Muñoz-Fernández, D. L. Rodríguez-Vidanes, J. B. Seoane-Sepúlveda. “Sharp Bernstein Inequalities for Polynomials on a Real Hilbert Space.” Journal of Convex Analysis 29 (2022), No. 1, 101–118. https://doi.org/10.68381/jca29005

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Published by Heldermann Verlag, 2022. Rights now held by Banach Press.