A NOTE ON SOME SERIES INEQUALITIES

Article Sidebar

PDF
Published: Mar 1, 1996
DOI: https://doi.org/10.5556/j.tkjm.27.1996.4364
Keywords:
Inequalities series of nonnegative terms order of the summation Holder's inequality

Main Article Content

B. G. PACHPATTE
Department of Mathematics, Marathwada University, Aurangabad 431004 (Maharshtra) India

Abstract




In the present note we establish some new inequalities involving series of nonnegative terms by using a fairly elementary analysis.




Article Details

How to Cite
PACHPATTE, B. G. (1996). A NOTE ON SOME SERIES INEQUALITIES. Tamkang Journal of Mathematics, 27(1), 77–79. https://doi.org/10.5556/j.tkjm.27.1996.4364
Issue
Vol. 27 No. 1 (1996)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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.