CONSTRUCTION OF A NEW FAMILY OF EFFICIENT IMBEDDED POLYNOMIALS WITH DISTINCT COEFFICIENTS
Journal Title: LAHORE GARRISON UNIVERSITY RESEARCH JOURNAL OF COMPUTER SCIENCE AND INFORMATION TECHNOLOGY - Year 2017, Vol 1, Issue 4
Abstract
We propose a new family of multi-purpose imbedded polynomials having distinct coefficients. There exist relationships between various coefficients of the members of the family, which considerably reduce the computational cost of development as well as using any number of members of the family in a particular problem. Every member polynomial of degree n going through (n+1) focuses {(xi, yi): i=0,1….......n} can be constructed very easily from another member having degree (n-1). In this paper, it is shown that the family of polynomials M exists and is efficient, reliable and more accurate as compared to other available techniques. The family has been successfully applied to the problem of interpolation in this paper. Therefore, the family M is also called the Malik‘s Imbedded Interpolating Polynomials (M.I.I.P). The family M gives similar results as compared to Lagrange Interpolation as for as accuracy is concerned but they are more efficient. The proposed polynomials are more efficient, more stable and more reliable as compared to other traditional interpolation methods due to remarkable reduction in mathematical operations. Our approach and the design of the method is different of available methods of prototype interpolation Methods. We have considered the drawbacks of other methods and eliminated from our approach. The superiority of the family is established and reported.
Authors and Affiliations
AFTAB AHMAD MALIK, NADEEM AHMAD
Keywords
Related Articles
- EP ID EP277512
- DOI -
- Views 72
- Downloads 0
Multimodal Interaction Recognition Mechanism by Using Midas Featured By Data-Level and Decision-Level Fusion
Natural User Interfaces (NUI's) dealing with gestures is an alternative of traditional input devices on multi-touch panels. Rate of growth in the Sensor technology has increased the use of multiple sensors to deal with v...
Review on Huawei Fusion Sphere Security
The cloud computing virtualization stage is another method for giving computing resources that give clients available and financially savvy benefits, and bring hazards in meantime. In this way, ensuring the privacy, trus...
DATASET FOR AMERICAN SIGN LANGUAGE
- For the deaf and dumb people, sign languages are the only path of communication. With the help of sign languages, physically disabled people can convey their feelings, emotions, and thoughts to other people. Since, for...
Effects of Mobile Phone Radiation on Human Health
In past 20 years the use of mobile phone has increased manifold. After 2015 there are more mobiles than humans on this earth. This makes the world a hub of communication as well as Centre of social network. There is a hu...
A Non-Parametric Comparison between Advances Software Engineering Process Model
Software development process provides detailed guideline for development testing and maintenance of software products. It deals with the risks associated with software development and a road map to manage its complexitie...