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ON PICARD ITERATIVE PROPERTIES OF THE BERNSTEIN OPERATORS AND AN APPLICATION TO FUZZY NUMBERS
weakly Picard operators Bernstein operators good and special weakly Picard operators monotone iteration L-R fuzzy numbers
2008/11/26
In this paper we give some properties of good and special convergence (introduced
by L. d’Apuzzo in 1977) of the sequence of successive approximations associated
to the Bernstein operators of unifor...
Asymptotic Properties of the Maximum Likelihood Estimate in Generalized Linear Models with Stochastic Regressors
Generalized linear models Consistency Asymptotic normality
2007/12/12
For generalized linear models (GLM), in case the regressors are stochastic and have different distributions, the asymptotic properties of the maximum likelihood estimate (MLE) $\hat{\beta}_n$ of the p...
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Darboux integrability Characteristic Lie Algebra First Integrals Integrability test
2010/2/25
Nonlinear semi-discrete equations of the form tx(n+1) = f(t(n), t(n+1), tx(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this not...
On Some Properties Connecting Infinite Series
Borel sets connectedness Baire classification of functions porosity of sets
2010/3/1
We prove several theorems connecting infinite series of real terms in relation to Borel and Baire classification of sets and functions, connectedness of mappings, porosity character of sets etc.
ON A DIFFERENTIAL ANALOG OF THE PRIME-RADICAL AND PROPERTIES OF THE LATTICE OF RADICAL DIFFERENTIAL IDEALS IN ASSOCIATIVE DIFFERENTIAL RINGS
DIFFERENTIAL ANALOG PRIME-RADICAL ASSOCIATIVE DIFFERENTIAL RINGS
2010/3/17
In this paper we prove the following results: (1) For any assosiative differential ring with the unit we introduce a differential analog of the prime-radical and describe it; (2) any maximal different...