A New Modification of Baskakov–Schurer–Stancu Operators: Weighted and Pointwise Approximation Theories
Nadire Fulda Odabaşı, Mohammad Farid, Nadeem Rao, Reşat Aslan
Abstract
The behavior of a new modification of operators of the Baskakov–Schurer–Stancu variant is discussed in this study. First, we establish certain necessary moment and central moment estimates. We then demonstrate the weighted approximation result of the suggested operators using a Korovkin-type theorem in weighted spaces. We also give the rate at which these operators converge. Next, we establish theorems of pointwise convergence. Finally, we show several graphical representations to illustrate the accuracy and functionality of the operators.
Topics & Concepts
PointwiseMathematicsMoment (physics)Operator theoryPure mathematicsDiscrete mathematicsPointwise convergenceOperator (biology)Approximation theoryAlgebra over a fieldBaskakov operatorCalculus (dental)Moment problemApplied mathematicsMathematical analysisApproximation Theory and Sequence SpacesFixed Point Theorems AnalysisHolomorphic and Operator Theory