Results 231 to 240 of about 9,982 (264)

On the integral modulus of continuity of fourier series

Journal d'Analyse Mathématique, 1972
Ram Babu. On the integral modulus of continuity of Fourier series. In: Bulletin de la Classe des sciences, tome 58, 1972. pp. 337-343.
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Some properties of the modulus of continuity

Mathematical Notes of the Academy of Sciences of the USSR, 1971
Necessary and sufficient conditions are derived for the continuity and semiadditivity of the modulus of continuity of a functionf(x) given on a compact Ω in n-dimensional euclidean space.
Kolodiĭ, I. M., Hil'debrand, F.
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Majorization of the Modulus of Continuity of Analytic Functions

Computational Methods and Function Theory, 2007
Let \(G\) be an open set in the complex plane, \(f\) analytic in \(G\) and continuous in \(\overline G\). Let \(\mu\) is a majorant in the sense that \(\mu(t)\) is a nonnegative, nondecreasing function defined for \(t\geq 0\) with \(\mu(2t)\leq 2\mu(t)\) for all \(t\geq 0\) and \[ |f(z_1)- f(z_2)|\leq \mu(|z_1- z_2|)\tag{1} \] for \(z_1\) and \(z_2 ...
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Modulus of Continuity for Stochastic Flows

1993
In this article we determine the modulus of continuity for a class of stochastic flows. We also give an application to anticipating stochastic differential equations of the Stratonovich type.
Paolo Baldi, Marta Sanz-Solé
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Modulus and continuous capacity

2001
Let \(E\) and \(F\) be disjoint compact subsets of a domain \(\Omega\) in a metric measure space \(X\). It is known that the \(p\)-modulus \(\operatorname{Mod}_p(E,F,\Omega)\) equals the \(p\)-capacity \(\operatorname{Cap}_p(E,F,\Omega)\) defined as the infimum of \(\|\rho\|_{L^p(\Omega)}^p\) over the set of all measurable functions \(\rho\) that are ...
Kallunki, Sari, Shanmugalingam, Nageswari   +1 more
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Modulus of continuity of harmonic functions

Journal d'Analyse Mathématique, 1988
Suppose that u(z) is a harmonic function in a plane domain G and that the modulus of continuity of u(z) is majorised by a nondecreasing function \(\mu\) (t), \(\mu\) (2t)\(\leq 2\mu (t)\), on the boundary \(\partial G\). What kind of upper bound can be obtained for \(| u(z_ 1)-u(z_ 2)|\) when \(z_ 1,z_ 2\in \bar G?\) Making use of various estimates of ...
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The K-Functional and the Modulus of Continuity

1987
After the introduction and preliminaries we are now in the “heart of the matter.” In this chapter the equivalence between our modulus of continuity and a certain Peetre K-functional will be proved. This will be the starting point for almost every other chapter, some in content and some in technique. The connection with the K-functional is important for
Z. Ditzian, V. Totik
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A Continuous Modulus of Continuity

The American Mathematical Monthly, 1975
Stephen B. Seidman, J. A. Childress
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Modulus of continuity of the Weierstrass function

Mathematical Notes of the Academy of Sciences of the USSR, 1984
Translation from Mat. Zametki 36, No.1, 35-38 (Russian) (1984; Zbl 0543.42007).
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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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