10 research outputs found
Statistical approximation properties of Stancu type -Baskakov-Kantorovich operators
In the present paper, we consider Stancu type generalization of
Baskakov-Kantorovich operators based on the q-integers and obtain statistical
and weighted statistical approximation properties of these operators. Rates of
statistical convergence by means of the modulus of continuity and the Lipschitz
type function are also established for said operators. Finally, we construct a
bivariate generalization of the operator and also obtain the statistical
approximation properties.Comment: 16. arXiv admin note: substantial text overlap with arXiv:1508.0586
Approximation for periodic functions via statistical σ-convergence
In this study, using the concept of statistical σ-convergence which is stronger than convergence and statistical convergence we prove a
Korovkin-type approximation theorem for sequences of positive linear
operators defined on which is the space of all -periodic and continuous functions on , the set of all real numbers. We also study the rates of statistical σ-convergence of approximating positive linear operators
XXIII Congreso Argentino de Ciencias de la Computación - CACIC 2017 : Libro de actas
Trabajos presentados en el XXIII Congreso Argentino de Ciencias de la Computación (CACIC), celebrado en la ciudad de La Plata los días 9 al 13 de octubre de 2017, organizado por la Red de Universidades con Carreras en Informática (RedUNCI) y la Facultad de Informática de la Universidad Nacional de La Plata (UNLP).Red de Universidades con Carreras en Informática (RedUNCI