Statistical approximation properties of q-Baskakov-Kantorovich operators
By Vijay Gupta, Cristina Radu. 2009
104 citations recorded by the source corpus.
In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.
Subfields: Applied Mathematics, Cardiology and Cardiovascular Medicine, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/f2f1dddb24a5078a08d56614d110282f799951f7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Cardiology and Cardiovascular Medicine
In Statistics and Probability
Citations in the corpus
- Note on q-Bernstein-Schurer operators (2011, methodology): “In [15] Gupta and Radu constructed a q-analoque of Baskakov-Kantorovich operators and investigated their weighted statistical approximation properties.”
- Generalized -Bernstein-Schurer Operators and Some Approximation Theorems (2013, unknown): “For instance, in [1] q-analogues of Bernstein-Kantorovich operators; in [3] q-Baskakov-Kantorovich operators; in [4] q-Szász-Mirakjan operators; in [5, 6] q-Bleimann, Butzer and Hahn operators; in [7] q-analogue of Baskakov and Baskakov-Kantorovich operators; in [8] q-analogue of Szász Kantorovich o”