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Sobolev type differential equations

✍ Scribed by V. Lakshmikantham; M. Lord

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
357 KB
Volume
4
Category
Article
ISSN
0096-3003

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We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Q~} associated with the inner product /' {p,q) = p(x)q(x)p(x)dx+A,p(l)q(1)+B,p(-1)q(-1)+A2p'(1)q'(1)+B2p'(-l)q'(-l), I where p(x)= (I -x)~(1 + xf is the Jacobi weight function, e, ~> -1, A l, BI, A2, B2/>0 and p, q E P, th