6533b82efe1ef96bd12944b6

RESEARCH PRODUCT

Stancu–Schurer–Kantorovich operators based on q-integers

Ana Maria Acu

subject

Discrete mathematicsComputational MathematicsRate of convergenceStatistical approximationApplied MathematicsConvergence (routing)Applied mathematicsFunction (mathematics)Type (model theory)Operator theoryModulus of continuityMathematics

description

The goal of this paper is to introduce and study q analogue of Stancu-Schurer-Kantorovich operators. A convergence theorem using the well known Bohman-Korovkin criterion is proven and the rate of convergence involving the modulus of continuity is established. The estimate of the rate of convergence by means of the Lipshitz function is considered. Furthermore, we obtained a Voronovskaja type result for these operators. Also, we investigate the statistical approximation properties of these operators using Korovkin type statistical approximation theorem.

yearjournalcountryeditionlanguage
2015-05-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2015.03.032