Schur-type inequalities for complex polynomials with no zeros in the unit disk.
Révész, Szilárd Gy. (2007)
Journal of Inequalities and Applications [electronic only]
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Révész, Szilárd Gy. (2007)
Journal of Inequalities and Applications [electronic only]
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Govil, N.K. (2002)
Journal of Inequalities and Applications [electronic only]
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Govil, N.K. (1991)
International Journal of Mathematics and Mathematical Sciences
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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.
Mirosław Baran (2015)
Banach Center Publications
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We point out relations between the injective complexification of a real Banach space and polynomial inequalities. In particular we prove a generalization of a classical Szegő inequality to the case of polynomial mappings between Banach spaces. As an application we observe a complex version of known Bernstein-Szegő type inequalities.
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.
M. Baran, W. Pleśniak (2000)
Studia Mathematica
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We give an estimate of Siciak’s extremal function for compact subsets of algebraic varieties in (resp. ). As an application we obtain Bernstein-Walsh and tangential Markov type inequalities for (the traces of) polynomials on algebraic sets.
Albrycht, Jerzy, Marlewski, Adam (1991)
Mathematica Pannonica
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Dewan, K.K., Govil, N.K., Mir, Abdullah, Pukhta, M.S. (2006)
Journal of Inequalities and Applications [electronic only]
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Guo, Shunsheng, Yue, Shujie, Li, Cuixiang, Yang, Ge, Sun, Yiguo (1996)
Abstract and Applied Analysis
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M. A. Qazi (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.
W. Pleśniak (2006)
Banach Center Publications
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We give a state-of-the-art survey of investigations concerning multivariate polynomial inequalities. A satisfactory theory of such inequalities has been developed due to applications of both the Gabrielov-Hironaka-Łojasiewicz subanalytic geometry and pluripotential methods based on the complex Monge-Ampère operator. Such an approach permits one to study various inequalities for polynomials restricted not only to nice (nonpluripolar) compact subsets of ℝⁿ or ℂⁿ but also their versions...
Lubinsky, D.S. (1997)
Journal of Inequalities and Applications [electronic only]
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