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Equivalence of concentration inequalities for linear and non-linear functions
concentration of measure large deviations quasiconvexity
2010/12/13
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological vector space X. We show that, with respect to an appropriate “normal distance” on X.
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
Minimal Pairs Representing Selections of Four Linear Functions in R3
Minimal pairs of convex sets convex analysis
2009/1/19
In this paper we investigate minimal pairs of continuous selections of four linear functions in R3: Our
purpose is to ßnd minimal pairs of compact convex sets (polytops) which represent all 166...
Inequalities on Linear Functions and Circular Powers
Binary Sequences Fibonacci Numbers Linear Forms Inequalities
2008/7/1
Inequalities on Linear Functions and Circular Powers.
Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions
Szász-Mirakjan operators Szász-Mirakjan-Kantorovich operators the Korovkin-type approximation theorem modulus of continuity Lipschitz class functionals Voronovskaya type theorem
2010/2/25
In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the i...