Results 151 to 160 of about 93,107 (163)

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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The generalized modulus of continuity and wavelets

1994
Over 20 years ago I introduced a flexible instrument to measure regularity of functions on Euclidean space which I called the generalized modulus of continuity or, m-modulus, with m denoting an arbitrary bounded complex measure on n-space whose Fourier transform vanishes at the origin.
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Extension of functions preserving the modulus of continuity

Mathematical Notes, 1997
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The Modulus of Continuity of a Measure with Finite Energy

Computational Methods and Function Theory, 2007
Let \(n\geq 1\) and \(h:(0,1)\rightarrow (0,\infty )\) be a function such that \( r^{n+1}h(r)\) is increasing and bounded, and \(\int_{0}^{1}h(r)\,dr=\infty \). A kernel \(H\) is defined on \(\mathbb{R}^{n}\) by \(H(x)=\int_{| x| }^{1}h(r)\,dr\) when \(\left| x\right| \leq 1/2\) and by \( H(x)=H(x_{0})\) when \(\left| x\right| >\left| x_{0}\right| =1/2\
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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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Continuity of the Modulus of Continuity

1994
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Continuous extrusion of high-modulus semicrystalline polymers

Journal of Applied Polymer Science, 1981
D. M. Bigg, M. M. Epstein, R. J. Fiorentino, E. G. Smith   +3 more
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Quasiregular mappings of maximal local modulus of continuity

2004
The behaviour of a plane \(K\)--quasiregular mapping \(f: \Omega \to {\mathbb C}\) is studied at the point \(z_0 \in \Omega\) where the local modulus of continuity of \(f\) is the worst possible: this means that it is of order \(1/K\). The main result says that if for \(z_0 = 0 = f(z_0),\;\omega_f(0) = \limsup_{z\to 0}| f(z)| /| z| ^{1/K} > 0\), then \(
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Modulus of continuity of solutions of Plateau problem

Mathematical Notes of the Academy of Sciences of the USSR, 1979
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