Sharp estimates for Jacobi matrices and chain sequences. II. (Q1418960)

Chain sequences are positive sequences \(\{a_n\}\) of the form \(a_n=g_n(1-g_{n-1})\), \(n\geq 0\), for a sequence \(\{g_n\}_{n=0}^\infty\) such that \(0\leq g_n\leq 1\). These sequences are useful in estimating the norms of Jacobi matrices and for localizing the interval of orthogonality for orthogonal polynomials. The author continues his previous work [\textit{R. Szwarc}, J. Approximation Theory 118, No. 1, 94-105 (2002; Zbl 1015.15013)] on chain sequences and obtains more precise estimates for the chain sequences.