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A generalization of Durrmeyer-type polynomials and their approximation

Abstract


We propose a general class of polynomials investigating the convergence of the operators constructed on the basis of these polynomials. The estimate of the error is given in terms of the modulus of continuity. Special examples are delivered

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Durrmeyer operator; self-adjoint operator; Lebesgue space

Paper coordinates

O. Agratini, A generalization of Durrmeyer-type polynomials and their approximation, Applications of Fibonacci Numbers, Proceedings of the tenth international research conference on Fibonacci numbers and their applications, 9 (2004), pp. 9-18.

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2004

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