2019Constructive Mathematical AnalysisOpen access

On Geometric Series of Positive Linear Operators

Radu Păltănea

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Abstract

We study the existence and the norm of operators obtained as power series of linear positive operators with particularization to Bernstein operators. We also obtain a Voronovskaja-kind theorem.

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We study the existence and the norm of operators obtained as power series of linear positive operators with particularization to Bernstein operators. We also obtain a Voronovskaja-kind theorem.

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Available abstract

We study the existence and the norm of operators obtained as power series of linear positive operators with particularization to Bernstein operators. We also obtain a Voronovskaja-kind theorem.

Key concepts: Linear operators, Mathematics, Operator theory, Power series, Series (stratigraphy), Operator norm, Spectral theorem, Norm (philosophy)

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