Affiliation:
1. Department of Mathematics, Faculty of Arts and Sciences, Gaziantep University, Gaziantep, Turkey
Abstract
We introduce a sequence of positive linear operators involving adjoint
Bernoulli polynomials of the first kind, and we focus on the approximation
properties of these operators. One of the main objectives is to get
estimates for the order of approximation by means of first-order modulus of
continuity, the Lipschitz condition, first modulus of derivative and a
combination of first order modulus of continuity and extended second-order
modulus. Further, we give Voronovskaya type and Gr?ss-Voronovskaya type
asymptotic results. Finally, we give two examples for error estimation by
using Maple software.
Publisher
National Library of Serbia