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Start Over Author "Cai, Qing-Bo" Journal journal of function spaces
10 results on '"Cai, Qing-Bo"'

4. On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

Author

Cai, Qing-Bo and Zhou, Guorong

Subjects
Article Subject, QA1-939, Mathematics
Abstract

In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied, a convergence theorem for the Lipschitz continuous functions is also obtained. Finally, some numerical examples are given to show that these operators we defined converge faster in some λ cases than Durrmeyer type (p, q)-Bernstein operators.

Published
2020

6. Approximation Properties and q-Statistical Convergence of Stancu-Type Generalized Baskakov-Szász Operators.

Author

Cai, Qing-Bo, Kilicman, Adem, and Ayman Mursaleen, Mohammad

Abstract

In this article, we introduce Stancu-type modification of generalized Baskakov-Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q -statistical approximation for these operators. [ABSTRACT FROM AUTHOR]

Published
2022
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