A generalization of natural density

R. Vembu; A. Bowrna

doi:10.26637/mjm403/006

Abstract

The concept of natural density is generalized. It is proved that the new theory is consistent with the existing theory in the literature. Many new results were obtained. A theorem analogous to the Riemann’s theorem on rearrangement of non-absolutely convergent series is proved in the sense of generalized natural density. Some more possible generalizations are suggested.

Keywords:

Natural density

Mathematics Subject Classification:

35Q30

Authors Imprint References Funding Related Articles Downloads

R. Vembu Department of Mathematics, SBK College, Aruppukottai - 626 101. India.
A. Bowrna Department of Mathematics, Sri Ramanas Arts and Science College for Women, Aruppukottai, India.

Pages: 388-391
Date Published: 01-07-2016
Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

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