Factorized enhancement of Copson's inequality

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Published: Sep 30, 2018
DOI: https://doi.org/10.5556/j.tkjm.49.2018.2358
Keywords:
Inequalities for sums factorization Ces\`{a}ro sequence space.

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Atanu Manna
Indian Institute of Carpet Technology

Abstract

This paper dealt with the factorized enhancement of Copson's inequality and improves one of the results given by Leindler.

Article Details

How to Cite
Manna, A. (2018). Factorized enhancement of Copson’s inequality. Tamkang Journal of Mathematics, 49(3), 195–203. https://doi.org/10.5556/j.tkjm.49.2018.2358
Issue
Vol. 49 No. 3 (2018)
Section
Papers
Author Biography

Atanu Manna, Indian Institute of Carpet Technology

Faculty of Mathematics, Indian Institute of Carpet Technology, Chauri Road, Bhadohi-221401, Uttar Pradesh, India. E-mail: atanu.manna@iict.ac.in

References

G. Bennett,Factorizing the Classical Inequalities, Memoirs of Amer. Math. Soc., 120(No. 576) (1996), 1--130.

E. T. Copson, Note on series of positive terms, J. London Math. Soc., 2(1927), 9--12.

E. T. Copson, Some integral inequalities, Proc. Roy. Soc. Edinburg Sect. A, 75(2) (1976), 157--164.

G. H. Hardy, J. E. Littelewood and G. Polya, Inequalities, Cambridge 1934.

Jr. P. D. Johnson and R. N. Mohapatra,On inequalities related to sequence spaces $hbox{rm ces}[p, q]$, General Inequalities 4, (W. Walter Ed.), Vol. 71: International Series of Numerical Mathematics, Birkh"{a}user Verlag, Basel, 1984, 191--201.

Jr. P. D. Johnson and R. N. Mohapatra, On an analogue of Hardy's inequality, Arch. Math., 60(1993), 157--163.

Jr. P. D. Johnson and R. N. Mohapatra, Density of finitely non-zero sequences in some sequence spaces, Math. Japonica, 24(1979), 253--262.

L. Leindler, Hardy-Bennett-type theorems, Math. Ineq. Appl., 1(4)(1998), 517--526.

L. Leindler, On the factorization of inequalities, Math. Ineq. Appl., 2(4)(1999), 509--516.

L. Leindler, Factorization of inequalities,J. Ineq. Pure Appl. Math., 5(1) (2004), Art. 12.

L. Leindler, Hardy-Littlewood-type inequalities and their factorized enhancement, T. M. Rassias (Ed.), Survey on Classical Inequalities, Kluwer Academic Publishers, (2000), 99--125.

I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. (Oxford), 18(1967), 345--355.

J. S. Shiue,Cesaro sequence spaces,Tamkang J. Math., 1(1970), 19--25.