Search results for "Statistical approximation"

showing 2 items of 2 documents

Stancu–Schurer–Kantorovich operators based on q-integers

2015

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.

Discrete mathematicsComputational MathematicsRate of convergenceStatistical approximationApplied MathematicsConvergence (routing)Applied mathematicsFunction (mathematics)Type (model theory)Operator theoryModulus of continuityMathematicsApplied Mathematics and Computation
researchProduct

Approximation properties of q-Kantorovich-Stancu operator

2015

In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity. Also, we investigate the statistical approximation properties of the q-Kantorovich-Stancu operators using the Korovkin-type statistical approximation theorem.

Operator (computer programming)Rate of convergenceStatistical approximationApplied MathematicsMathematical analysisDiscrete Mathematics and CombinatoricsSpouge's approximationSpectral theoremOperator theoryOperator normAnalysisModulus of continuityMathematicsJournal of Inequalities and Applications
researchProduct