Relationship Between Weight Function and 1 – Norm
Abstract
The function on a subset of is the function defined by
For , we define .
The Hamming weight of is the number of non – zero coordinates of , where From this one could see that , where is the 1 – norm of given by where . This gives a relationship between the weight function and the 1 – norm.
In this paper we establish certain properties of the weight function using the properties of norms.
Keywords
Full Text:
PDFReferences
M. MelnaFrincy and J.R.V. Edward – Extension of the – function to . Turkish Online Journal of Qualitative Inquiry . Volume 12, Issue 6, June 2021: 714-718.
Justesan and Hoholdt – A Course in Error Correcting Codes. Hindustan Bork Agency, New Delhi, 2004.
E.Kreyszig – Introductory Functional Analysis with Applications. John Wiley & Sons, New York, 1978.
B.V.Limaye – Functional Analysis, New Age International Publishers, New Delhi, 1996.
G. F. Simmons – Introduction to Topology and Modern Analysis. Mc – Graw Hill, Tokyo, 1963.
DOI: http://dx.doi.org/10.23755/rm.v44i0.914
Refbacks
- There are currently no refbacks.
Copyright (c) 2022 M Melna Frincy, J RobertVictor Edward
This work is licensed under a Creative Commons Attribution 4.0 International License.
Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.