Geodesic
On certain inequalities for real-root polynomials
Mathematics and Education in Mathematics, Tome 51 (2022), pp. 77-85.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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. В статията се разглеждат някои неравенства за полиноми с реални нули, които представляват уточнения на неравенствата на Йенсен за цели функции от класа на Лагер–Пойа. Демонстрира се как такива неравенства могат да се прилагат за получаване на оценки за крайните нули на класическите ортогонални полиноми.
Keywords: Laguerre–P´olya class, Jensen inrqualities, real–root polynomials, zeros of classical orthogonal polynomials, 26D05, 26D07, 26C10, 33C45, 26D05, 26D07, 26C10, 33C45 
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     author = {Nikolov, Geno},
     title = {On certain inequalities for real-root polynomials},
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     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2022_51_a5/}
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Nikolov, Geno. On certain inequalities for real-root polynomials. Mathematics and Education in Mathematics, Tome 51 (2022), pp. 77-85. http://geodesic.mathdoc.fr/item/MEM_2022_51_a5/