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A Study Of Certain Interpolatory Processes on Unit Circle


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  • Product Description

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.

Product Specifications
SKU :COC24613
AuthorSwarnima Bahadur
Number of Pages80
Publishing Year2012-07-04T00:00:00.000
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00