Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials

1983 ◽  
Vol 14 (3) ◽  
pp. 237-240 ◽  
Author(s):  
Lee Lorch
Keyword(s):  
Legendre Polynomials ◽  
Alternative Proof ◽  
Bernstein’S Inequality ◽  
Bernstein's Inequality ◽  
Sharpened Form

scholarly journals Inequalities and representation formulas for functions of exponential type

1995 ◽  
Vol 58 (1) ◽  
pp. 15-26
Author(s):  
C. Frappier ◽  
P. Olivier
Keyword(s):  
Exponential Type ◽  
Entire Functions ◽  
Representation Formula ◽  
Bernstein’S Inequality ◽  
Representation Formulas ◽  
Functions Of Exponential Type ◽  
Bernstein's Inequality

AbstractWe generalise the classical Bernstein's inequality: . Moreover we obtain a new representation formula for entire functions of exponential type.

scholarly journals A New Bernstein’s Inequality and the 2D Dissipative Quasi-Geostrophic Equation

2007 ◽  
Vol 271 (3) ◽  
pp. 821-838 ◽  
Author(s):  
Qionglei Chen ◽  
Changxing Miao ◽  
Zhifei Zhang
Keyword(s):  
Bernstein’S Inequality ◽  
Bernstein's Inequality
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