On Indexed Riesz Summability of an Infinite Series

  • S. Nayak Department of Mathematics, J. J. Mahavidyalaya, Kodala, Ganjam, Odisha, India
  • U. K. Misra Department of Mathematics, National Institute of Science and Technology, PallurHills-761008, Odisha, India
  • B. P. Padhy Department of Mathematics, Roland Institute of Technology, Golanthara-761008, Odisha, India
Keywords: Summability, Indexed Riesz Summability, Infinite Series

Abstract

Generalizing the results of Seyhan and Misra et al. a theorem on indexed-Reisz summability has been established.

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References

Bor,H. (1975), A Note on the Summability methods, Math.Proc. of Cambridge Phil. Doc.,Vol 97 (1975),pp:147-149.

Flett,T.M. (1957), On an extension of absolute Summability and some theorem of Littlewood and Pabey, Proc. Lond.Math. Soc. , 7, pp: 113-141.

Misra, U.K., Panda, S.P., and Panda, S.P. (2010), A theorem on

k n N, p summabilty of infinite series,

Journal. Of Comp. and Math. Soc., Vol. 1(2), pp: 103-110.

Misra, U.K., Padhy, B.P., and Bisoyi, D. (2014), A theorem on

k n N, p summabilty of infinite series, International Journal of Mathematical Sciences and Humanities(International eJournal),c., 112 ,pp: 1209-1220.

Seyhan, H. (1995), The absolute Summability methods, Ph.D Thesis,Kayseri, pp:01-57.

Published
2015-03-02
How to Cite
Nayak, S., Misra, U. K., & Padhy, B. P. (2015). On Indexed Riesz Summability of an Infinite Series. Journal of Progressive Research in Mathematics, 2(2), 90-100. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/30
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