On (p,q)-analogue of Bernstein Operators
M. Mursaleen, Khursheed J. Ansari, Asif Khan
Abstract
M. Mursaleen, Khursheed J. Ansari, Asif Khan
Abstract
In this paper, we introduce a new analogue of Bernstein operators and we call it as (p, q)-Bernstein operators which is a generalization of q-Bernstein operators. We also study approximation properties based on Korovkin’s type approximation theorem of (p, q)-Bernstein operators and establish some direct theorems. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.
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In this paper, we introduce a new analogue of Bernstein operators and we call it as (p, q)-Bernstein operators which is a generalization of q-Bernstein operators. We also study approximation properties based on Korovkin’s type approximation theorem of (p, q)-Bernstein operators and establish some direct theorems. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.
Key concepts: Bernstein polynomial, Operator theory, Baskakov operator, Generalization, Spectral theorem, Convergence (economics), Mathematics, Type (biology)