On certain inequalities for real-root polynomials
Keywords:
Laguerre–P´olya class, Jensen inrqualities, real–root polynomials, zeros of classical orthogonal polynomialsAbstract
We review certain inequalities satisfied by real-root polynomials, which are a refinement of the Jensen inequalities for functions from the Laguerre–Polya class. Then we demonstrate how these inequalities yield bounds for the zeros of classical orthogonal polynomials.
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