Laguerre–Polya Class Jensen Inequalities Real–Root Polynomials Zeros of Classical Orthogonal Polynomials
Issue Date:
2022
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Mathematics and Education in Mathematics, 2022, 077p-085p
Abstract:
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. 2020 Mathematics Subject Classification: 26D05, 26D07, 26C10, 33C45.
