Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Khangembam Babina Devi"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-30 (2024)
Abstract Let p ( z ) $p(z)$ be a polynomial of degree n having no zero in | z | < k $|z|< k$ , k ≤ 1 $k\leq 1$ , then Govil [Proc. Nat. Acad. Sci., 50(1980), 50-52] proved max | z | = 1 | p ′ ( z ) | ≤ n 1 + k n max | z | = 1 | p ( z ) | , $$ \
Externí odkaz:
https://doaj.org/article/6b779a2db4d445a483a0fa1d7c0621ee
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 136:29-46
Publikováno v:
The Journal of Analysis. 30:1439-1454
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811972713
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e55fd0b5fa779030315b9d31b0cb9b4
https://doi.org/10.1007/978-981-19-7272-0_32
https://doi.org/10.1007/978-981-19-7272-0_32
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:1325-1338
Let p(z) be a polynomial of degree n with zero of multiplicity s at the origin and the remaining zeros in $$|z|\ge k$$ or in $$|z|\le k$$ , $$k>0$$ . In this paper, first we obtain inequalities about the dependence of |p(Rz)| on |p(rz)|, where $$|z|=
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 127:61-70
Autor:
Barchand Chanam, Khangembam Babina Devi, Maisnam Triveni Devi, null Reingachan N., Kshetrimayum Krishnadas
Publikováno v:
AIP Conference Proceedings.
Autor:
Kshetrimayum Krishnadas, Thangjam Birkramjit Singh, Khangembam Babina Devi, Barchand Chanam, Maisnam Triveni
Publikováno v:
Journal of Physics: Conference Series. 1849:012007
If p(z) is a polynomial of degree n having no zero in |z| < k, k > 1, then for 0 < s < n and 1 ≤ R ≤ k Jain [2007 Turk. J. Math. 31 89-94] proved max | z | = R | p ( s ) ( z ) | ≤ 1 R s + k s [ { d s d x s ( 1 + x n ) } x = 1 ] ( R + k 1 + k )