Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces

Abstract

In this work we discuss generalizations of the classical Bernstein and Markov type inequalities for polynomials and we present some new inequalities for the kth Fréchet derivative of homogeneous polynomials on real and complex Lp(μ) spaces. We also give applications to homogeneous polynomials and symmetric multilinear mappings in Lp(μ) spaces. Finally, Bernstein’s inequality for homogeneous polynomials on both real and complex Hilbert spaces has been discussed.

Chatzakou M., Sarantopoulos Y., Chatzakou M., Sarantopoulos Y. (2019) "Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces " Dolomites Research Notes on Approximation, 12(Special_Issue), 16-28. DOI: 10.14658/PUPJ-DRNA-2019-Special_Issue-4  
Year of Publication
2019
Journal
Dolomites Research Notes on Approximation
Volume
12
Issue Number
Special_Issue
Start Page
16
Last Page
28
Date Published
10/2019
ISSN Number
2035-6803
Serial Article Number
4
DOI
10.14658/PUPJ-DRNA-2019-Special_Issue-4
Issue
Section
SpecialIssue