Results on Bivariate Modified (p, q)-Bernstein Type Operators

Abstract

Here, we construct a modification of the (𝑝,𝑞)-Bernstein operators for the two-dimensional case. We study some important properties of these new operators. We estimate the rate of convergence of these operators using modulus of continuity then we give these estimation for functions belonging to class 𝐿𝑖𝑝𝑀(𝛼1,𝛼2).

Keywords

• (p,q)-Bernstein operators
• (p,q)- integer
• Modulus of continuity

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