Generalized trace formula for symmetric Legendre-Sobolev orthogonal polynomials (Q2781664)

The author studies the discrete symmetric Sobolev inner product NEWLINE\[NEWLINE \langle f,g\rangle = {1\over 2}\int_{-1}^1 f(x)g(x)dx+M\left[f(1)g(1)+f(-1)g(-1)\right] + N\left[f'(1)g'(1)+f'(-1)'g(-1)\right], NEWLINE\]NEWLINE where \(M,N\geq 0\). NEWLINENEWLINENEWLINEThis inner product has been studied before and the author states three new results: one on the growth of the norms of the monic orthogonal polynomials, one on limits of generalized Turán determinants and finally one on a generalized trace formula. No proofs are given.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00015].