Abstract
Six recently established inequalities of E. T. Copson, which are generalizations of Hardy’s inequality, are here extended to additional cases of the exponents involved, and in some cases are proved under a more natural convergence hypothesis.
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References
E. T. Copson, Some integral inequalities, Proc. Roy. Soc. Edinburgh 75A 13 (1975/76), 157–164.
G. Chrystal, Algebra, an Elementary Textbook, v. 2, 7th ed., Chelsea reprint, New York, 1964.
G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, 2nd ed., Cambridge, 1952.
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© 1980 Springer Basel AG
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Beesack, P.R. (1980). On Some Integral Inequalities of E. T. Copson. In: Beckenbach, E.F. (eds) General Inequalities 2. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 47. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6324-7_16
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DOI: https://doi.org/10.1007/978-3-0348-6324-7_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1056-1
Online ISBN: 978-3-0348-6324-7
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