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We improve the degree of approximation by Bernstein-Durrmeyer polynomials taking their iterates and obtain error estimate in higher-order approximation.

isrn mathematical physics/isrn mathematical analysis

On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math>-Approximation by Iterative Combination of Bernstein-Durrmeyer Polynomials

On Lp-Approximation by Iterative Combination of Bernstein-Durrmeyer Polynomials