A NOTE ON SOME SERIES INEQUALITIES
DOI:
https://doi.org/10.5556/j.tkjm.27.1996.4364Keywords:
Inequalities series of nonnegative terms, order of the summation, Holder's inequalityAbstract
In the present note we establish some new inequalities involving series of nonnegative terms by using a fairly elementary analysis.
References
E. F . Beckenbach and R . Bellman, Inequalities, Springer-Verlag, Berlin, 1965
G. S. Davies and G. M. Petersen, "On an inequality of Hardy's (II)," Quart. J. Math. Oxford 15(1964), 85-90.
G. H. Hardy, J.E. Littlewood and G. Piilya, Inequalities, Cambridge Univ. Press, Cambridge, 1934
D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, Berlin, 1970
J. Nemeth, "Generalizations of the Hardy-Littlewood inequality," Acta Sci. Math. (Szeged) 32 (1971), 295-299.
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