Abstract
In the meantime, I have been able to prove Theorem B of the foregoing remarks [2] by Professor Mohapatra without the restriction r ≥ -1 (compare Theorem 1.1 of my paper [1] applied to the Lebesgue norm); hence the answer to Problem 1 of Mohapatra is “Yes.” The analogous problem for his Theorem 2 is still open.
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References
F. Fehér, A generalized Schur-Hardy inequality on normed Köthe spaces, pp. 277–286, in E. F. Beckenbach (ed.), General Inequalities 2 (Proc. Oberwolfach Conference, July 30–August 5, 1978), ISNM 47, Birkhäuser Verlag, Basel and Stuttgart, 1980.
R. N. Mohapatra, Remarks on a generalization of the Schur-Hardy inequality, pp. 459–460, in E. F. Beckenbach (ed.), General Inequalities 2 (Proc. Oberwolfach Conference, July 30–August 5, 1978), ISNM 47, Birkhäuser Verlag, Basel and Stuttgart, 1980.
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Fehér, F. (1980). A Note on the Foregoing Remarks of R. N. Mohapatra. 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_45
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DOI: https://doi.org/10.1007/978-3-0348-6324-7_45
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