On Approximation by Kantorovich Exponential Sampling Operators
Shivam Bajpeyi, A. Sathish Kumar
Abstract
In the present article, we extend our study of Kantorovich type exponential sampling operators introduced in [4]. We derive the Voronovskaya type theorem and its quantitative estimates for these operators in terms of an appropriate K-functional. Further, we improve the order of approximation by using the convex type linear combinations of these operators. Finally, we provide few examples of kernels along with the graphical representations.
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MathematicsShift theoremExponential typeExponential functionOperator theoryApplied mathematicsType (biology)Regular polygonSampling (signal processing)Spectral theoremMathematical analysisFixed-point theoremBrouwer fixed-point theoremComputer scienceDanskin's theoremEcologyBiologyFilter (signal processing)Computer visionGeometryApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsMathematical Approximation and Integration