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On the Holder Continuity of Quasi Conformal and Elliptic Mappings [PDF]
Transactions of the American Mathematical Society, 1958 If K 1. Geometrically, (1) implies that the mapping z->w(z) is sense-preserving, and that infinitesimal circles map onto infinitesimal ellipses for which the ratio of minor to major axis is >K-(K 2-1)1/2. The quantity ,u = K (K2 1)1/2, is thus the greatest lower bound of the "local eccentricity" of all mappings satisfying (1).
James Serrin
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On the Hölder-Continuity of ω-minima
ANNALI DELL UNIVERSITA DI FERRARA, 1988We prove Holder regularity for the gradient of local ω-minima of integral functionals with quadratic principal part.
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Continuous sharpening of Holder's and Minkowski's inequalities
Mathematical inequalities & applications, 2005Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Varošanec, Sanja, Pečarić, Josip
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Detecting Structural Damage Using Holder Continuity and Chaotic Forcing
AIP Conference Proceedings, 2004We describe an experiment using a chaotically driven metal plate with incremental damage. Damage in the plate is manifested as a local change in the plate’s response (loss of stiffness). We develop a statistical test for Holder continuity and demonstrate its use by examining the map between responses of the undamaged plate and responses of the damaged ...
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Holder continuous Siegel disc boundary curves
Nonlinearity, 1995Summary: We prove, with the assistance of rigorous computer calculations, that Widom's renormalization fixed point, and any pair in its domain of attraction, has a Hölder continuous invariant curve through the origin. We deduce that any complex analytic map attracted by Widom's fixed point has a Siegel disc bounded by a Hölder continuous Jordan curve ...
Burbanks, Andrew, Stirnemann, A.
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Little-Hölder continuous functions and elliptic systems
ANNALI DELL UNIVERSITA DI FERRARA, 1986Let \(\Omega\) be a bounded open subset of \({\mathbb{R}}^ n\), \(n\geq 1\). A vector valued function \(f: {\bar \Omega}\to {\mathbb{R}}^ k\), \(k\geq 1\), is said to be little-Hölder continuous with exponent \(\sigma\) if \[ (1)\quad \lim_{R\to 0^+}\sup_{x,y\in {\bar \Omega ...
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Compression of Strain Load History Using Holder Exponents of Continuous Wavelet Transform
2018This paper presents the compression of strain loading time history of automobile suspension spring by extracting singularities in the signal using Lipschitz regularity analysis. Time histories of suspension spring always contained redundant data that increase the size of the signal and are insignificant to durability analysis.
Chin, Chuin Hao +5 more
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A probe-holder for continuous echo-encephalography
Medical & Biological Engineering, 1968H R, Müller +2 more
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Approximation of Holder Continuous Functions by Bernstein Polynomials
The American Mathematical Monthly, 1999(1999). Approximation of Holder Continuous Functions by Bernstein Polynomials. The American Mathematical Monthly: Vol. 106, No. 6, pp. 568-574.
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Perceptions of Diploma Holder Nurses on Continuing Higher Education: A Qualitative Study
The Malaysian Journal of Qualitative ResearchContinuing higher education is essential for nurses to adapt to the evolving healthcare landscape. As an essential part of the healthcare system, nurses should pursue further education to broaden their knowledge, develop specialized knowledge, and become experts in their fields.
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