J. Prestin, H.N. Mhaskar
On Marcinkiewicz-Zygmund-Type Inequalities
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

41A17 Inequalities in approximation (Bernstein, Jackson, Nikolskiui type inequalities)

41A05 Interpolation, See also {42A15 and 65D05}

Abstract: We investigate the relationship between the Marcinkiewic-Zygmund-type
inequalities and certain shifted average operators. Applications to
the mean boundedness of a quasi-interpolary operator in the case of
trigonometric polynomials, Jacobi polynomials and Freud polynomials
are presented.
Keywords: Marcinkiewic-Zygmund-type inequalitis, quasi-interpolatory operators