Bernstein type inequalities for splines

2012 ◽  
Vol 20 ◽  
pp. 18
Author(s):  
V.F. Babenko ◽  
V.A. Zontov
Keyword(s):  
Bernstein Type ◽  
Minimal Defect ◽  
Equidistant Nodes ◽  
Bernstein Type Inequalities

New sharp Bernstein type inequalities in the space $L_2(\mathbb{R})$ for the differences of non-periodic splines of order $m$ and minimal defect, having equidistant nodes, are obtained.

scholarly journals Bernstein type inequalities of different metrics for splines defined on the real domain

2013 ◽  
Vol 21 ◽  
pp. 26
Author(s):  
V.F. Babenko ◽  
V.A. Zontov
Keyword(s):  
Bernstein Type ◽  
The Real ◽  
Minimal Defect ◽  
Integrable Functions ◽  
Equidistant Nodes ◽  
Real Domain ◽  
Bernstein Type Inequalities

New sharp Bernstein type inequalities of different metrics in spaces of integrable functions for non-periodic splines of order m and minimal defect, having equidistant nodes, are obtained.

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