We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape-preserving operators.
@article{bwmeta1.element.doi-10_1515_conop-2015-0008, author = {Dmitry Boytsov and Sergei Sidorov}, title = {The Rate of Convergence for Linear Shape-Preserving Algorithms}, journal = {Concrete Operators}, volume = {2}, year = {2015}, zbl = {1331.41033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2015-0008} }
Dmitry Boytsov; Sergei Sidorov. The Rate of Convergence for Linear Shape-Preserving Algorithms. Concrete Operators, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2015-0008/
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