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Sharp Estimates of Asymptotic Error of Approximation by General Positive Linear Operators in Terms of the First and the Second Moduli of Continuity

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Abstract

There are obtained sharp quantitative results for asymptotic approximation by positive linear operators using the moments. The optimality of the constants that appear in these estimates is proven. The applications are given for the Bernstein operators.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Transilvania University of Braşov, 50 Iuliu Maniu Street, 500091, Braşov, Romania

    Radu Păltănea & Mihaela Smuc

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  1. Radu Păltănea
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  2. Mihaela Smuc
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Correspondence to Radu Păltănea.

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Dedicated to professor Heiner Gonska on the occasion of his 70th birthday.

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Păltănea, R., Smuc, M. Sharp Estimates of Asymptotic Error of Approximation by General Positive Linear Operators in Terms of the First and the Second Moduli of Continuity. Results Math 74, 70 (2019). https://doi.org/10.1007/s00025-019-0997-8

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