1,721,138 research outputs found
Overiterated Linear Operator and Asymptotic Behaviour of Semigroups
No full textThe results provided hereby are related to the asymptotic behaviour
of certain strongly continuous semigroups, which may be expressed in terms
of iterates of positive linear operators, in the sense of Altomare’s theory. We
present some applications to concrete cases involving continuous and discrete
type operators, namely the Beta and the Stancu operators.
Mathematics Subject Classification (2000). Primary 41A35; Secondary 47D06.
Keywords. Bounded linear operators, strongly continuous semigroups, asymptotic
behaviour, iterates, overiterates
Towards a characterization of a class of differential operators associated with positive projections
No full textExtrapolation Properties of Multivariate Bernstein Polynomials
No full textWe consider some connections between the classical sequence of Bernstein polynomials and the Taylor expansion at the point 0 of a C^∞ function f defined on a convex open subset Ω⊂R^d containing the d-dimensional simplex S^d of R^d. Under general assumptions, we obtain that the sequence of Bernstein polynomials converges to the Taylor expansion and hence to the function f together with derivatives of every order not only on S^d but also on the whole Ω. This result yields extrapolation properties of the classical Bernstein operators and their derivatives. An extension of the Voronovskaja’s formula is also stated
Lipschitz contractions, unique ergodicity and asymptotics of Markov semigroups
No full textWe are mainly concerned with the asymptotic behaviour of
both discrete and continuous semigroups of Markov operators acting
on the space C(X) of all continuous functions on a compact metric
space X. We establish a simple criterion under which such
semigroups admit a unique invariant probability measure on X
that determines their limit behaviour on C(X) and on
L^p(X,\mu).
The criterion involves the behaviour of the semigroups on
Lipschitz
continuous functions and on the relevant Lipschitz seminorms.
Finally, we discuss some applications concerning the
Kantorovich operators on the hypercube and the Bernstein-Durrmeyer
operator with Jacobi weights on [0,1]. As a consequence we
determine the limit of the iterates of these operators as well as of
their corresponding Markov semigroups whose generators fall in the
class of Fleming-Viot differential operators arising in population
genetics
Qualitative properties of a class of Fleming-Viot type operators
No full textWe indicate some qualitative properties of Fleming-Viot second order differential operators on the d-dimensional simplex, such as an inductive characterization of its domain and some spectral properties connected with the asymptotic behavior of the generated semigroup. These properties turn out to be very useful in the approximation of the solution of the evolution problem associated with Fleming-Viot operators, which are very important as diffusion models in population genetics
The influence of Single Area Payments and Less Favoured Area Payments on the Latvian landscape.
No full textThe influence of Single Area Payments and Less Favoured Area Payments on the Latvian landscape.Nikodemus, O., Bell, S., Peneze, Z. and Rasa, I.2010PRJEuropean Countryside1• 2010 • p. 25-41DOI: 10.2478/v10091-010-0003-
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