Gancho T. Tachev
Abstract
Abstract We establish the global smoothness preservation of a function f by the sequence of linear positive operators. Our estimate is in terms of the second order Ditzian-Totik modulus of smoothness. Application is given to the Bernstein operator.
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Abstract We establish the global smoothness preservation of a function f by the sequence of linear positive operators. Our estimate is in terms of the second order Ditzian-Totik modulus of smoothness. Application is given to the Bernstein operator.
Key concepts: Smoothness, Mathematics, Order (exchange), Operator (biology), Sequence (biology), Function (biology), Modulus, Moduli