Approximation properties of λ‐Bernstein‐Kantorovich operators with shifted knots
By Shagufta Rahman, M. Mursaleen, A. Acu. Mathematical methods in the applied sciences, 2019
51 citations recorded by the source corpus.
In the present article, Kantorovich variant of λ‐Bernstein operators with shifted knots are introduced. The advantage of using shifted knot is that one can do approximation on [0,1] as well as on its subinterval. In addition, it adds flexibility to operators for approximation. Some basic results for approximation as well as rate of convergence of the introduced operators are established. The rth order generalization of the operator is also discussed. Further for comparisons, some graphics and error estimation tables are presented using MATLAB.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/3ec003e79afcc1521ed38626383f4c26f8fc4a83
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Computational Theory and Mathematics
In Statistics and Probability
Citations in the corpus
- On new Bézier bases with Schurer polynomials and corresponding results in approximation theory (2019, result): “We refer to [5, 6, 20, 23, 26] for recent studies about λ-Bernstein type operators and [13, 14, 28] for some Schuer type operators.”