Bernstein's constant

Known as: Bernstein conjecture, Bernstein constant, Bernstein's conjecture 
Bernstein's constant, usually denoted by the Greek letter β (beta), is a mathematical constant named after Sergei Natanovich Bernstein and is… (More)
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Topic mentions per year

2000-2017
0120002017

Papers overview

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2017
2017
A general lower bound is developed for the minimax risk when estimating an arbitrary functional. The bound is based on testing… (More)
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2014
2014
Sharp Riesz–Bernstein-type inequalities are proven for the derivatives of algebraic polynomials on general subsets of unit circle… (More)
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2011
2011
A general lower bound is developed for the minimax risk when estimating an arbitrary functional. The bound is based on testing… (More)
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Review
2009
Review
2009
Minimal surfaces and domain walls play important roles in various contexts of spacetime physics as well as material science. In… (More)
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2008
2008
The Markov–Bernstein inequalities for the Jacobi measure remained to be studied in detail. Indeed the tools used for obtaining… (More)
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2005
2005
Let > 0 not be an even integer. We derive Lagrange type series representations for the entire function of exponential type 1 that… (More)
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2003
2003
Let > 0 be not an integer. S.N. Bernstein established the limit := lim n!1 n En [x ; [0; 1]] ; where En [x ; [0; 1]] denotes the… (More)
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2003
2003
Lev M. Brutman was born in Moscow, in the former Soviet Union, on September 25, 1939. He completed his mathematical studies at… (More)
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2002
2000
2000
In this paper we present a new limit relation for the equidistant Lagrange interpolation polynomials to |x| , α ∈ (0, 1] on the… (More)
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