Geodesic
An integral estimate for an operator preserving inequalities between polynomials
Problemy analiza, Tome 9 (2020) no. 3, pp. 137-147

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Let $\mathcal{P}_{n}$ be the class of polynomials of degree at most $n$. Rahman introduced a class $\mathcal {B}_{n}$ of operators $B$ that map $\mathcal {P}_{n}$ into itself. In this paper we prove some results concerning the integral estimates of such operators and, thereby, obtain generalizations, as well as improvements, of some well known $L_p$ inequalities.
Keywords: polynomials, $B$-operator, inequalities in the complex domain, zeros. 
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     author = {S. L. Wali},
     title = {An integral estimate for an operator preserving inequalities between polynomials},
     journal = {Problemy analiza},
     pages = {137--147},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2020_9_3_a9/}
}
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S. L. Wali. An integral estimate for an operator preserving inequalities between polynomials. Problemy analiza, Tome 9 (2020) no. 3, pp. 137-147. http://geodesic.mathdoc.fr/item/PA_2020_9_3_a9/