Abstract
Given a triangular summability matrix A we define a sequence s to be positive if its A-transform has positive entries. We are interested in matrices with the property that the ordinary sections of a sequence or certain weighted means of them determine positive operators in the convergence domain. Especially important is the autopositive case where the weighted means are given by the matrix itself.
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Beekmann, W., Zeller, K. (1984). Positivity in Summability. In: Walter, W. (eds) General Inequalities 4. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 71. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6259-2_11
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DOI: https://doi.org/10.1007/978-3-0348-6259-2_11
Publisher Name: Birkhäuser, Basel
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