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International Scholarly Research Notices - Volume 2014 2014, Article ID 974934, 6 pages -

Research Article

Department of Mathematics, Kamaraj College, Tuticorin, Tamilnadu 628003, India

Department of Mathematics, Dr. G. U. Pope College of Engineering, Sawyerpuram, Tuticorin, Tamilnadu 628251, India

Received 6 June 2014; Revised 14 October 2014; Accepted 15 October 2014; Published 9 November 2014

Academic Editor: Mahdi Sanati

Copyright © 2014 T. Balasubramanian and S. Zion Chella Ruth. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The history of modal intervals goes back to the very first publications on the topic of interval calculus. The modal interval analysis is used in Computer graphics and Computer Aided Design CAD, namely, the computation of narrow bounds on Bezier and -Spline curves. Since modal intervals are used in many fields, we introduce a new sequence space called the Hahn sequence space of modal intervals. We have given some new definitions and theorems. Some inclusion relation and some topological properties of this space are investigated. Also dual spaces of this space are computed.





Author: T. Balasubramanian and S. Zion Chella Ruth

Source: https://www.hindawi.com/



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