2 6 Ja n 19 96 ESTIMATES FOR JACOBI - SOBOLEV TYPE ORTHOGONAL POLYNOMIALS

نویسندگان

  • M. Alfaro
  • F. Marcellán
  • M. L. Rezola
چکیده

Let the Sobolev-type inner product f, g = R f gdµ 0 + R f ′ g ′ dµ 1 with µ 0 = w + M δ c , µ 1 = N δ c where w is the Jacobi weight, c is either 1 or −1 and M, N ≥ 0. We obtain estimates and asymptotic properties on [−1, 1] for the polynomials orthonormal with respect to .,. and their kernels. We also compare these polynomials with Jacobi orthonormal polynomials.

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تاریخ انتشار 1996