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of 6
pro vyhledávání: '"Nisar Ahmad Rather"'
Publikováno v:
Ural Mathematical Journal, Vol 8, Iss 2 (2022)
Let \(\Re_n\) be the set of all rational functions of the type \(r(z) = p(z)/w(z),\) where \(p(z)\) is a polynomial of degree at most \(n\) and \(w(z) = \prod_{j=1}^{n}(z-a_j)\), \(|a_j|>1\) for \(1\leq j\leq n\). In this paper, we set up some result
Externí odkaz:
https://doaj.org/article/d27822b64460497d871f8fd997caeec5
Publikováno v:
Ural Mathematical Journal, Vol 7, Iss 1 (2021)
Let \(P(z)\) be a polynomial of degree \(n\), then concerning the estimate for maximum of \(|P'(z)|\) on the unit circle, it was proved by S. Bernstein that \(\| P'\|_{\infty}\leq n\| P\|_{\infty}\). Later, Zygmund obtained an \(L_p\)-norm extension
Externí odkaz:
https://doaj.org/article/c602b0274a904bda8c9d39290e6315fe
Autor:
Manish Kumar Verma, Nisar Ahmad Rather
Publikováno v:
Annals of Tropical Medicine and Public Health. 23
Autor:
Nisar Ahmad Rather, Mushtaq A. Shah
Publikováno v:
Acta et Commentationes Universitatis Tartuensis de Mathematica. 18:189-195
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Publikováno v:
Applied Mathematics. :155-166
If P(z) is a polynomial of degree at most n having all its zeros in , then it was recently claimed by Shah and Liman ([1], estimates for the family of $B$-operators, Operators and Matrices, (2011), 79-87) that for every R≧1, p ≧ 1, where B is a B
Publikováno v:
Applied Mathematics. :557-563
Let be the class of polynomials of degree n and a family of operators that map into itself. For , we investigate the dependence of on the maximum modulus of on for arbitrary real or complex numbers , with , and , and present certain sharp operator pr