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On the Maximum and Minimum Modulus of Rational Functions
Canadian Journal of Mathematics, 2000AbstractWe show that if m, n ≥ 0, λ > 1, and R is a rational function with numerator, denominator of degree ≤ m, n, respectively, then there exists a set ⊂ [0, 1] of linear measure such that for r ∈ ,Here, one may not replace , for any ε > 0.
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ON THE STOKES EQUATIONS: THE MAXIMUM MODULUS THEOREM
Mathematical Models and Methods in Applied Sciences, 2000We consider the boundary value problem for classical solutions to the Stokes equations. We prove the existence, uniqueness and continuous dependence on the boundary data, which are assumed to be continuous only.
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Bounds on the maximum modulus of dissociation roots
Discrete Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo Chen +3 more
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On maximum modulus of polynomials
1992Let \(p(z)\) denote a polynomial of degree \(n\geq 3\), \(q(z)= 2^n\overline{p(\overline z^{-1})}\) and let \(M(f,r)= \max[|f(z):|z|= r|]\). An objective of this note is to show that for each positive integer \(s\), \(R\geq 0\), \(\theta\in \langle 0,2\pi\rangle\) there holds the inequality \[ \begin{multlined} |p(\text{Re}^{i\theta})|^s+|q(\text{Re ...
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On the Maximum Modulus of an Integral Function
Proceedings of the London Mathematical Society, 1960openaire +2 more sources
On a Result of Hayman Concerning the Maximum Modulus Set
Computational Methods and Function Theory, 2021Dave Jonathon Sixsmith +2 more
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