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.
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