Back to Search
Start Over
Extremal Problems of TurĂ¡n-type Involving the Location of All Zeros of a Class of Rational Functions.
- Source :
- Vestnik St. Petersburg University: Mathematics; Jun2024, Vol. 57 Issue 2, p219-225, 7p
- Publication Year :
- 2024
-
Abstract
- In this paper, we prove a Turán-type inequality for rational functions and thereby extend it to a more general class of rational functions of degree mn with prescribed poles, where is a polynomial of degree m. These results not only generalize some Turán-type inequalities for rational functions, but also improve as well as generalize some known polynomial inequalities. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10634541
- Volume :
- 57
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Vestnik St. Petersburg University: Mathematics
- Publication Type :
- Periodical
- Accession number :
- 177350203
- Full Text :
- https://doi.org/10.1134/S1063454124700122