𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization

2021 ◽  
Author(s):  
Feng Dai ◽  
Andriy Prymak
Keyword(s):  
Bernstein Inequalities

SOME ESTIMATES FOR POLYNOMIALS

2009 ◽  
Vol 02 (03) ◽  
pp. 425-434
Author(s):  
Tatsuhiro Honda ◽  
Mitsuhiro Miyagi ◽  
Masaru Nishihara ◽  
Seiko Ohgai ◽  
Mamoru Yoshida
Keyword(s):  
Trigonometric Polynomials ◽  
Alternative Proof ◽  
Bernstein Inequalities

We give an elementary alternative proof of the Bernstein inequalities and the Szegö inequalities for trigonometric polynomials or polynomials.

scholarly journals Lp Markov-Bernstein Inequalities for Freud Weights

1994 ◽  
Vol 77 (3) ◽  
pp. 229-248 ◽  
Author(s):  
A.L. Levin ◽  
D.S. Lubinsky
Keyword(s):  
Freud Weights ◽  
Bernstein Inequalities

scholarly journals Weighted Markov-Bernstein inequalities for entire functions of exponential type

2014 ◽  
Vol 96 (110) ◽  
pp. 181-192 ◽  
Author(s):  
Doron Lubinsky
Keyword(s):  
Entire Function ◽  
Exponential Type ◽  
Entire Functions ◽  
Functions Of Exponential Type ◽  
Bernstein Inequalities

We prove weighted Markov-Bernstein inequalities of the form ???? |f?(x)|pw(x) dx ? C(? + 1)p ???? |f(x)|pw(x) dx Here w satisfies certain doubling type properties, f is an entire function of exponential type ? ?, p > 0, and C is independent of f and ?. For example, w(x) = (1 + x2)? satisfies the conditions for any ? ? R. Classical doubling inequalities of Mastroianni and Totik inspired this result.

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