Bookcover of A Study Of Certain Interpolatory Processes on Unit Circle
Booktitle:

A Study Of Certain Interpolatory Processes on Unit Circle

Interpolation on Unit Circle

LAP LAMBERT Academic Publishing (2012-04-07 )

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ISBN-13:

978-3-8473-7854-9

ISBN-10:
3847378546
EAN:
9783847378549
Book language:
English
Blurb/Shorttext:
Hermite Interpolation is a particular case in which we are given only the values of function and its first derivative at the given set of points in a given interval. As against this, we shall use the term “Lacunary Interpolation”, in which the value of the function and its derivatives of higher orders are prescribed at the given set of points. In this, we have considered the problem of existence, explicit representation, estimation and convergence behavior of several interpolatory polynomials on the nodes, which are obtained by projecting vertically the zeros of nth Legendre polynomial together with +1 and -1 on unit circle. Weighted Lacunary interpolation, say weighted (0, 2) and (0, 1, 3) interpolations are also considered on unit circle. Various other types of interpolation have also been investigated. Finally, we obtained the rate of convergence and convergence theorems of such interpolatory polynomials.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Swarnima Bahadur
Number of pages:
80
Published on:
2012-04-07
Stock:
Available
Category:
Mathematics
Price:
49.00 €
Keywords:
Convergence, interpolation, Approximation Theory, Legendre Polynomials

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