Sequences of orthogonal polynomials with step functions as their weight functions

Authors:
Maitree Podisuk;Pongpan Rattanathanawan;Pimpak Phataranavik
Affiliations:
Department of Mathematics and Computer Science, King Mongkut's Institute of Technology Chaokhuntaharn Ladkrabang, Ladkrabang, Bangkok, Thailand;Department of Mathematics and Computer Science, King Mongkut's Institute of Technology Chaokhuntaharn Ladkrabang, Ladkrabang, Bangkok, Thailand;Department of Mathematics and Computer Science, King Mongkut's Institute of Technology Chaokhuntaharn Ladkrabang, Ladkrabang, Bangkok, Thailand
Venue:
MMACTEE'06 Proceedings of the 8th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering
Year:
2006

Citing 3
Cited 2

Elementary Numerical Analysis: An Algorithmic Approach

Elementary Numerical Analysis: An Algorithmic Approach
Some orthogonal polynomials

MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
Applications of orthogonal polynomials

MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics

Smoothing curve by orthogonal polynomial(2)

ACACOS'08 Proceedings of the 7th WSEAS International Conference on Applied Computer and Applied Computational Science
Smoothing curve by orthogonal polynomials

AMATH'09 Proceedings of the 15th american conference on Applied mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we will construct the sequences of orthogonal polynomials with step functions as their weight functions in the interval [0,1]. We will show these polynomials up to degree seven. The application of these orthogonal polynomials will be illustrated with example.