SEVERAL PROPERTIES OF CONVERGENT AND CAUCHY SEQUENCES IN A QUASI 2-NORMED SPACE

Authors

DOI:

https://doi.org/10.37560/matbil15100019m

Keywords:

Quasi 2-norm, \((2,p)\)-norm, modulus of concavity, Cauchy sequence, convergent sequence

Abstract

In [7] C. Park has generalized the term quasi-normed space, i.e. has given the term quasi 2-normed space. Further, C. Park has proven few properties of quasi 2-norm, in [3] M. Kir and M. Acikgoz have given the procedure for completing the quasi 2-normed space and in [1], [4] and [6] are proven few inequalities about quasi 2-normed spaces. In this paper are proven several properties of Cauchy and convergent sequences in a quasi 2-normed space. Some of them are analogy to the properties of such sequences in n-normed spaces ([5], [8]).

Downloads

Published

2015-01-01

Issue

Vol. 39 No. 1 (2015): 39 (LXV) 1 (2015)

Section

Articles

License

Copyright (c) 2015 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
R. Malčeski, “SEVERAL PROPERTIES OF CONVERGENT AND CAUCHY SEQUENCES IN A QUASI 2-NORMED SPACE”, Mat. Bilt., vol. 39, no. 1, pp. 19–24, Jan. 2015, doi: 10.37560/matbil15100019m.