Abstract
This paper is concerned with inequalities of the form ∥Ax∥q ≤ C∥x∥p, where A and x are infinite versions of square and column matrices, respectively, C is independent of x, and the norms are the standard ones in ℓq and l p. While special inequalities of this kind have received extensive attention long ago, relatively little work seems to have appeared until recently with general matrices A such as are discussed here. An application to certain summability matrices is added.
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References
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© 1983 Springer Basel AG
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Love, E.R. (1983). Inequalities between Norms in Sequence Spaces. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_15
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DOI: https://doi.org/10.1007/978-3-0348-6290-5_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6292-9
Online ISBN: 978-3-0348-6290-5
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