Results 11 to 20 of about 93,097 (321)

Functions with a concave modulus of continuity [PDF]

Proceedings of the American Mathematical Society, 1974
In [1], C. Goffman proved that, if σ \sigma is a modulus of continuity, then the set of all functions f in C [ 0 , 1 ] C[0,1] such that m ( { x : f ( x ) = g ( x ) } )
Helen E. White
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The boundary modulus of continuity of harmonic functions [PDF]

Pacific Journal of Mathematics, 1980
Elgin Johnston
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Uniform Modulus of Continuity of Random Fields [PDF]

Monatshefte für Mathematik, 2009
A sufficient condition for the uniform modulus of continuity of a random field $X = \{X(t), t \in \R^N\}$ is provided. The result is applicable to random fields with heavy-tailed distribution such as stable random fields.
Yimin Xiao
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On the Integral Modulus of Continuity of Fourier Series III

Communications Faculty Of Science University of Ankara, 1974
We obtain an estimate for the integral modulus of continuity of orderk of Fourier series with coefficients satisfying:a v →0 and Σ v=1 ∞ v 2|Δ2(a v /v)|
Babu RAM
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Luzin's condition (N) and modulus of continuity [PDF]

Advances in Calculus of Variations, 2014
Abstract In this paper, we establish Luzin's condition (N) for mappings in certain Sobolev–Orlicz spaces with certain moduli of continuity. Further, given a mapping in these Sobolev–Orlicz spaces, we give bounds on the size of the exceptional set where Luzin's condition (N) may fail.
Pekka Koskela, Jan Malý, Thomas Zürcher   +2 more
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Modulus of continuity of Kerov transition measure for continual Young diagrams [PDF]

Electronic Journal of Probability
The transition measure is a foundational concept introduced by Sergey Kerov to represent the shape of a Young diagram as a centered probability measure on the real line. Over a period of decades the transition measure turned out to be an invaluable tool for many problems of the asymptotic representation theory of the symmetric groups. Kerov also showed
Piotr Śniady
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Modulus of continuity of operator functions [PDF]

St. Petersburg Mathematical Journal, 2009
Summary: Let \(A\) and \(B\) be bounded selfadjoint operators on a separable Hilbert space, and let \(f\) be a continuous function defined on an interval \( [a,b]\) containing the spectra of \(A\) and \(B\). If \(\omega _f\) denotes the modulus of continuity of \(f\), then \[ \| f(A)-f(B)\| \leq 4\Big[\log\Big(\frac{b-a}{\| A-B\|}+1\Big)+1\Big]^2 \cdot
Farforovskaya, Yu. B., Nikolskaya, L.
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On the Approximation of Periodic Functions in L2 and the Values of the Widths of Certain Classes of Functions

Моделирование и анализ информационных систем, 2015
The sharp Jackson–Stechkin inequalities are received, in which a special module of continuity Ωem(f;t) determined by Steklov’s function is used instead the usual modulus of continuity of mth order ωm(f;t).
K. Tukhliev
doaj   +1 more source

Stochastic integral representation of the $L^{2}$ modulus of Brownian local time and a central limit theorem [PDF]

, 2009
The purpose of this note is to prove a central limit theorem for the $L^2$-modulus of continuity of the Brownian local time obtained in \cite{CLMR}, using techniques of stochastic analysis.
Hu, Yaozhong, Nualart, David
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On functions of van der Waerden type [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
Let $\omega(t)$ be an arbitrary modulus of continuity type function, such that $\omega(t)/t\to+\infty$, as $t\to+0$. We construct a continuous nowhere-differentiable function $V_\omega(x)$, $x\in[0;1]$, that satisfies the following conditions: 1)  ...
Rubinstein, Aleksandr I., Telyakovskii, Dmitrii S.   +1 more
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