A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α
Copyright policy )A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α
The objective of this paper is to construct univariate and bivariate blending typeα-Schurer–Kantorovich operators depending on two parametersα∈0,1andρ>0to approximate a class of measurable functions on0,1+q,q>0. We present some auxiliary results and obtain the rate of convergence of these operators. Next, we study the global and local approximation properties in terms of first- and second-order modulus of smoothness, weight functions, and by Peetre’sK-functional in different function spaces. Moreover, we present some study on numerical and graphical analysis for our operators.
- University of Newcastle Australia Australia
- Thamar University Yemen
- Chandigarh University India
- Shree Guru Gobind Singh Tricentenary University India
- Universiti Putra Malaysia Malaysia
Statistics and Probability, Mathematical analysis, High-dimensional Integration and Quasi-Monte Carlo Methods, Health Sciences, QA1-939, FOS: Mathematics, Univariate, Apelin Signaling and Physiology, Multivariate Approximation, Biology, Pharmacology, Numerical Analysis, Algebra over a field, Ecology, Statistics, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Smoothness, Multivariate statistics, Bivariate analysis, Combinatorics, FOS: Biological sciences, Physical Sciences, Medicine, Type (biology), Mathematics
Statistics and Probability, Mathematical analysis, High-dimensional Integration and Quasi-Monte Carlo Methods, Health Sciences, QA1-939, FOS: Mathematics, Univariate, Apelin Signaling and Physiology, Multivariate Approximation, Biology, Pharmacology, Numerical Analysis, Algebra over a field, Ecology, Statistics, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Smoothness, Multivariate statistics, Bivariate analysis, Combinatorics, FOS: Biological sciences, Physical Sciences, Medicine, Type (biology), Mathematics
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