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.

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 On analogue of one problem of Erdös for non-periodic splines on the real domain

2013 ◽  
Vol 21 ◽  
pp. 125
Author(s):  
V.A. Kofanov
Keyword(s):  
Uniform Norm ◽  
Fixed Interval ◽  
The Real ◽  
Minimal Defect ◽  
Periodic Spline ◽  
Maximal Arc ◽  
Real Domain

We solve the analog of some problem of Erdös about the characterization of the non-periodic spline of order r and of minimal defect, with knots at the points $kh$, $k\in \mathbb{Z}$ and fixed uniform norm that has maximal arc lens over any fixed interval.

Linear Differential Equations in the Real Domain

1967 ◽  
Vol 51 (378) ◽  
pp. 364
Author(s):  
R. P. Gillespie ◽  
Kenneth S. Miller
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
The Real ◽  
Real Domain ◽  
Linear Differential
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