title: Extremal problems of Tur´an-type involving the location of all zeros of a class of rational functions
metadata.name: dc.contributor.author
metadata.value: Mir, Mohammad Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Wali, Shah L.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shah, Wali M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-07-04T12:18:05Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-07-04T12:18:05Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Mir M.Y., Wali S. L., Shah W.M. Extremal problems of Tur´an-type involving the location of all zeros of a class of rational functions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 2, pp. 324–331. https://doi.org/10.21638/spbu01.2024.206 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.206
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45696
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we prove a Tur´an-type inequality for rational functions and thereby extend
  it to a more general class of rational functions r(s(z)) of degree mn with prescribed poles,
  where s(z) is a polynomial of degree m. These results not only generalize some Tur´antype
  inequalities for rational functions, but also improve as well as generalize some known
  polynomial inequalities.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: M.Y.Mir expresses his deep gratitude to the DST-INSPIRE agency for financial support.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: rational function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: polynomials
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: zeros
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: polar derivative
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inequalities
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Extremal problems of Tur´an-type involving the location of all zeros of a class of rational functions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 324-331.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45696/1/324-331.pdf
resources.format: Adobe PDF
resources.size: 265,7 kB