Results 11 to 20 of about 118,650 (266)
On the maximum modulus of a polynomial and its derivatives [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Let f(z) be an arbitrary entire function and M(f,r)=max|z|=r|f(z)|. For a polynomial P(z), having no zeros in |z|
K. K. Dewan, Abdullah Mir
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The Maximum Modulus Set of a Polynomial [PDF]
Computational Methods and Function Theory, 2021 AbstractWe study the maximum modulus set, $${{\mathcal {M}}}(p)$$ M ( p ) , of a polynomial p. We are interested in constructing p so that $${{\mathcal {M}}}(p)$$ M
Pardo-Simón, Leticia +1 more
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On the Maximum Modulus of Polynomials [PDF]
Proceedings of the American Mathematical Society, 1992 The maximum modulus on | z |
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On the Maximum Modulus of Polynomials
Journal of Mathematical Analysis and Applications, 1994 The following refinement involving the first coefficients of one result of \textit{T. J. Rivlin} [Am. Math. Month. 67, 251-253 (1960)] is proved: if \(p(z)= \sum^ n_ 0 c_ k z^ k\) is a polynomial of degree \(n\), having no zeros in \(| z|< 1\) and \(| c_ 1|\leq \rho n| c_ 0|\), then for \(0\leq r\leq \rho\leq 1\), \[ M(p,r)\geq \left({1+ r\over 1+ \rho}
Dewan, K.K., Kaur, J.
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Vector subseries of maximum modulus [PDF]
Proceedings of the American Mathematical Society, 1951 This note extends to Euclidean n-space En for n ?2 and to the generalized Euclidean space E, certain investigations undertaken in [1]I with reference to E2. Among other things, we shall show that, given any absolutely convergent series ECk of elements in a Banach space, there is a subseries Ecj* of maximum modulus; that in En for n ?2 this maximum is ...
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On the structure of maximum modulus algebras [PDF]
Proceedings of the American Mathematical Society, 1958 i.e., if every fER attains its maximum modulus on C. As a matter of convenience, we shall, in this paper, abbreviate "maximum modulus algebra on K" to "M-algebra." Examples of Al-algebras which come to mind immediately are (a) the algebra (a consisting of all functions which are continuous on K and analytic in U, (b) any subalgebra of (a, (c) any ...
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Medicina, 2023 Background and Objective: Achilles tendon (AT) stiffness can reduce ankle dorsiflexion. However, whether AT stiffness affects the ankle dorsiflexion angle at a maximum squat depth remains unclear.
Hayato Miyasaka +3 more
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A CURVILINEAR EXTENSION OF THE MAXIMUM MODULUS PRINCIPLE [PDF]
Proceedings of the National Academy of Sciences, 1969 The classical maximum principle is extended to the case where at frontier points the assumed global upper limit of the function is replaced by an upper limit along merely an arc, provided that the function does not have infinity as an asymptotic value.
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Annales de l'Institut Fourier, 1981 We investigate some aspects of maximum modulus sets in the boundary of a strictly pseudoconvex domain D of dimension N . If
Duchamp, Thomas, Stout, Edgar Lee
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A Sneaky Proof of the Maximum Modulus Principle [PDF]
The American Mathematical Monthly, 2013 A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra.
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