An operator preserving inequalities between polynomials.
Shah, W.M., Liman, A. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Shah, W.M., Liman, A. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Dehmer, Matthias (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Aziz, A., Zafar, Fiza (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Craven, Thomas, Csordas, George (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Arty Ahuja, K. Dewan, Sunil Hans (2011)
Annales UMCS, Mathematica
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In this paper we obtain certain results for the polar derivative of a polynomial [...] , having all its zeros on [...] which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros.
Gupta, Dharma P., Muldoon, Martin E. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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K. Dewan, Sunil Hans (2009)
Annales UMCS, Mathematica
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If P(z) is a polynomial of degree n, having all its zeros in the disk [...] then it was shown by Govil [Proc. Amer. Math. Soc. 41, no. 2 (1973), 543-546] that [...] In this paper, we obtain generalization as well as improvement of above inequality for the polynomial of the type [...] Also we generalize a result due to Dewan and Mir [Southeast Asian Bull. Math. 31 (2007), 691-695] in this direction.
J. L. Díaz-Barrero, J. J. Egozcue (2008)
Czechoslovak Mathematical Journal
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Given a set of points in the complex plane, an incomplete polynomial is defined as the one which has these points as zeros except one of them. The classical result known as Gauss-Lucas theorem on the location of zeros of polynomials and their derivatives is extended to convex linear combinations of incomplete polynomials. An integral representation of convex linear combinations of incomplete polynomials is also given.
Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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K. Dewan, Sunil Hans (2008)
Annales UMCS, Mathematica
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If p(z) be a polynomial of degree n, which does not vanish in |z| < k, k < 1, then it was conjectured by Aziz [Bull. Austral. Math. Soc. 35 (1987), 245-256] that [...] In this paper, we consider the case k < r < 1 and present a generalization as well as improvement of the above inequality.
Dewan, K.K., Mir, Abdullah, Yadav, R.S. (2001)
International Journal of Mathematics and Mathematical Sciences
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Radoš Bakić (2013)
Publications de l'Institut Mathématique
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Gardner, Robert B., Govil, N.K., Musukula, Srinath R. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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