Displaying similar documents to “Classical 2-orthogonal polynomials and differential equations.”

Bernstein-type operators on the half line

Antonio Attalienti, Michele Campiti (2002)

Czechoslovak Mathematical Journal

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We define Bernstein-type operators on the half line [ 0 , + ∞ [ by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.

Some remarks on I -faster convergent infinite series

Ladislav Matejíčka (2009)

Mathematica Bohemica

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A structure of terms of I -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of I -faster convergent series with different types of their terms are proved. Some consequences are discussed.