Statistical approximation properties of Stancu type qq-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 $C^{ast }$ which is the space of all $2pi$-periodic and continuous functions on $mathbb{R}$, 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