Bernstein- and Markov-type inequalities
Preprint
Abstract
This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Polynomial approximation on a compact subset of the real lineJournal of Approximation Theory, 2018
- Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zerosJournal of Approximation Theory, 2018
- Sharp constants in asymptotic higher order Markov inequalitiesActa Mathematica Hungarica, 2017
- Asymptotically Sharp Markov and Schur Inequalities on General SetsComplex Analysis and Operator Theory, 2014
- Bernstein-type inequalitiesJournal of Approximation Theory, 2012
- Polynomial approximation of piecewise analytic functions on a compact subset of the real lineJournal of Approximation Theory, 2009
- Sharpening of Hilbert’s lemniscate theoremJournal d'Analyse Mathématique, 2005
- Polynomial inverse images and polynomial inequalitiesActa Mathematica, 2001
- Weighted L2-Analogs of Bernstein′s Inequality and Classical Orthogonal PolynomialsJournal of Mathematical Analysis and Applications, 1994
- Bernstein type theorems for compact sets in nJournal of Approximation Theory, 1992