On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations
Jun-Jie Quan, Reşat Aslan, İsmet Yüksel, Nadire Fulda Odabaşı, Qing‐Bo Cai
Abstract
This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.
Topics & Concepts
MathematicsPointwise convergencePointwiseConsistency (knowledge bases)Moment (physics)Convergence (economics)Rate of convergenceApplied mathematicsType (biology)Approximation theoryOperator theoryDiscrete mathematicsStrong consistencyExtension (predicate logic)Pure mathematicsMathematical optimizationCompleteness (order theory)Constant (computer programming)Algebra over a fieldUniform convergenceCalculus (dental)Approximation algorithmMathematical analysisApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationAdvanced Harmonic Analysis Research