BERNSTEIN OPERATOR AND ITS MODIFICATIONS

Abstract

S.N. Bernstein was the mathematician who proved the Weierstrass Theorem by defining Bernstein Polynomials and Operators. This paper illustrates the various forms of the Bernstein Operator and the different modifications done by other mathematicians in order to study and prove more theorems in Approximation Theory. In this paper, we will be dealing with the classical Bernstein Operator, Bernstein-Kantorovich Operator, q-Bernstein Operator and Bernstein Durrmeyer Operator.