A general method to study the convergence of nonlinear operators in Orlicz spaces
Advanced Nonlinear Studies, 2022 We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
doaj +1 more source
On approximation properties of some non-positive Bernstein-Durrmeyer type operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
doaj +1 more source
Bernstein-Jackson-type inequalities and Besov spaces associated with unbounded operators
Journal of Inequalities and Applications, 2014 Besov-type interpolation spaces and appropriate Bernstein-Jackson inequalities, generated by unbounded linear operators in a Banach space, are considered.
M. Dmytryshyn, O. Lopushansky
semanticscholar +2 more sources
DISCRETE APPROXIMATION OF NON-COMPACT OPERATORS DESCRIBING CONTINUUM-OF-ALLELES MODELS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2003 We consider the eigenvalue equation for the largest eigenvalue of certain kinds of non-compact linear operators given as the sum of a multiplication and a kernel operator.
Oliver Redner
semanticscholar +1 more source
Schrödinger operators with potential waveguides on periodic graphs
, 2020 We consider discrete Schrödinger operators with periodic potentials on periodic graphs perturbed by guided positive potentials, which are periodic in some directions and finitely supported in other ones.
O. Post, N. Saburova
semanticscholar +1 more source
Convergence of Laplacians on smooth spaces towards the fractal Sierpiński gasket
, 2020 The purpose of this article is to prove that – under reasonable assumptions – the canonical energy form on a graph-like manifold is quasi-unitarily equivalent with the energy form on the underlying discrete graph.
O. Post, J. Simmer
semanticscholar +1 more source
Skew-symmetric and essentially unitary operators via Berezin symbols
Open Mathematics, 2020 We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla +3 more
doaj +1 more source
Positive operators and approximation in function spaces on completely regular spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 61, Page 3841-3871, 2003., 2003 We discuss the approximation properties of nets of positive linear operators acting on function spaces defined on Hausdorff completely regular spaces. A particular attention is devoted to positive operators which are defined in terms of integrals with respect to a given family of Borel measures.
Francesco Altomare, Sabrina Diomede
wiley +1 more source
Remarks on „Weak limits of almost invariant projections” by Foias, Pasnicu and Voiculescu
, 2017 Ultraproducts of operators are used to give simpler proofs of certain results in the paper “Weak limits of almost invariant projections” by Foias, Pasnicu and Voiculescu. Mathematics subject classification (2010): 47A15, 47A58.
M. Boedihardjo
semanticscholar +1 more source
Besov-Lorentz-type spaces and best approximations by exponential type vectors
, 2015 We investigate the problem of best approximations by exponential type entire vectors of a closed unbounded linear operator in the Banach space. Applying the abstract Besov-Lorentz-type spaces and the Bernstein-Jackson-type inequalities, a behavior of ...
M. Dmytryshyn
semanticscholar +1 more source