Article ID Journal Published Year Pages File Type
9503173 Journal of Mathematical Analysis and Applications 2005 14 Pages PDF
Abstract
Given a symmetrized Sobolev inner product of order N, the corresponding sequence of monic orthogonal polynomials {Qn} satisfies that Q2n(x)=Pn(x2), Q2n+1(x)=xRn(x2) for certain sequences of monic polynomials {Pn} and {Rn}. In this paper, we deduce the integral representation of the inner products such that {Pn} and {Rn} are the corresponding sequences of orthogonal polynomials. Moreover, we state a relation between both inner products which extends the classical result for symmetric linear functionals.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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