Abstract
The factorization of inequalities, introduced by G. Bennett, is a new and very effective method providing the best possible version of several classical and latest inequalities. Here two theorems of G. Bennett are extended into factorized forms up to the exact values of the constants. In the proofs we construct appropriate sequence spaces and utilize one of our recent theorems.
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References
G. Bennett, Some elementary inequalities, Quart. J. Math. Oxford, 38 (1987), 401–425.
G. Bennett, Factorizing the Classical Inequalities, Memoirs of Amer. Math. Soc., 120 (1996), Number 576, 1–130.
G. H. Hardy and J. E. Littlewood, Elementary theorems concerning power series with positive coefficients and moment constants of positive functions, J. für Math., 157 (1927), 141–158.
L. Leindler, Generalization of inequalities of Hardy and Littlewood, Acta Sci. Math. (Szeged), 31 (1970), 279–285.
L. Leindler, A theorem of Hardy-Bennett-type, Acta Math. Hungar., 78 (1998), 315–325.
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Leindler, L. Two Theorems of Hardy-Bennett-Type. Acta Mathematica Hungarica 79, 341–350 (1998). https://doi.org/10.1023/A:1006571230686
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DOI: https://doi.org/10.1023/A:1006571230686