scholarly journals Polynomial inequalities on the Hamming cube

2020 ◽  
Vol 178 (1-2) ◽  
pp. 235-287
Author(s):  
Alexandros Eskenazis ◽  
Paata Ivanisvili
Keyword(s):  
Polynomial Inequalities

scholarly journals Explicit Bounds for Hermite Polynomials in the Oscillatory Region

2000 ◽  
Vol 3 ◽  
pp. 307-314 ◽  
Author(s):  
William H. Foster ◽  
Ilia Krasikov
Keyword(s):  
Quadratic Forms ◽  
Hermite Polynomials ◽  
Polynomial Inequalities ◽  
Explicit Bounds

AbstractWe apply a method of positive quadratic forms based on polynomial inequalities to establish sharp explicit bounds on the envelope of Hermite polynomials in the oscillatory region |x| < (2k – 3/2)1/2.

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