Complex Perturbed Bernstein-Schurer-Type Operators

Abstract

In the present paper, we describe a new generalization of complex Bernstein-Schurer operators. We attain quantitative upper estimates for the convergence, lower estimates from a qualitative Voronovskaya type result and afterwards establish the exact degree of simultaneous approximation by the specified operator attached to analytical functions in a disk centered at the origin having radius greater than one.

Keywords

• Perturbed Bernstein operator
• Complex Bernstein-Schurer operator
• Simultaneous approximation
• Equivalence

References

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