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THE RELATION BETWEEN THE SOLID MODULUS OF CONTINUITY AND THE MODULUS OF CONTINUITY ALONG THE SHILOV BOUNDARY FOR ANALYTIC FUNCTIONS OF SEVERAL VARIABLES

Mathematics of the USSR-Sbornik, 1985
Let G be a set, S its subset, \(\omega:[0,+\infty)\to [0,+\infty)\) an increasing function with \(\omega(0)=(0)\) and \(\omega(\delta_ 1+\delta_ 2)\leq \omega(\delta_ 1)+\omega(\delta_ 2)\) for all \(\delta_ 1,\delta_ 2>0\). For any \(f:G\to {\mathbb{C}}\) put \(\omega_{S,f}(\delta)=^{def}\sup \{| f(\zeta)-f(z)|:z,\zeta \in S,\quad | \zeta -z| \leq ...
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Brownian Continuity Modulus Via Series Expansions

Journal of Theoretical Probability, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modulus of Continuity for Peierls’s Barrier

1987
For an exact area preserving monotone twist diffeomorphism with a uniform lower bound β for the amount of twisting, we will show that Peierls’s barrier satisfies $$ \left| {{P_{p/q}}\left( \xi \right) - {P_\omega }\left( \xi \right)} \right| \leqslant C\left( {{q^{ - 1}} + \left| {\omega q - p} \right|} \right) $$ , where C = (1200)cotβ.
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Modulus of continuity for continuous additive functional

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1972
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Modulus of continuity in L2

Siberian Mathematical Journal, 1979
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On the modulus of continuity for starlike mappings

2002
Summary: For a conformal mapping of the unit disk onto a starlike domain with boundary in a given annulus we derive an estimate for the modulus of continuity of the boundary correspondence function. The result is in some sense asymptotically sharp.
Gaier, Dieter, Kühnau, Reiner
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The estimates of approximation by using a new type of weighted modulus of continuity

Computers and Mathematics With Applications, 2007
Ali Aral
exaly  

Luzin's condition (N) and modulus of continuity

Advances in Calculus of Variations, 2015
Thomas Zürcher   +2 more
exaly  

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