Results 261 to 270 of about 173,303,186 (294)

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.
openaire   +2 more sources

Modulus of continuity and Lipschitz approximation

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Luofei, Jiang, Yan
openaire   +2 more sources

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 ...
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +2 more sources

On the Modulus of Continuity for Noisy Positive Super-Resolution

2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2018
This paper considers the problem of super-resolution with positive constraints. By utilizing the concept of Modulus of Continuity (MC), we propose a unified framework for analyzing the robustness of super-resolution reconstruction in presence of noise, which is algorithm-independent and emphasizes the role of signal structures.
Heng Qiao, Piya Pal
openaire   +2 more sources

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
openaire   +1 more source

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).
openaire   +2 more sources

A Continuous Modulus of Continuity

The American Mathematical Monthly, 1975
Stephen B. Seidman, J. A. Childress
openaire   +1 more source

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 ...
openaire   +2 more sources