Abstract

It is shown that certain asymptotic approximations are upper or lower bounds for the zeros $\theta _{n,k} (\alpha ,\beta )$ of Jacobi polynomials $P_n^{(\alpha ,\beta )} (\cos \theta )$. The procedure for deriving these bounds is based on the Sturm comparison theorem. Numerical examples are given to illustrate the sharpness of the new inequalities.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call