Results 31 to 40 of about 1,225,050 (328)
On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]
Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Abraham Racca, Emmanuel Cabral
doaj +1 more source
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state [PDF]
We analyze a finite element approximation of an elliptic optimal control problem with pointwise bounds on the gradient of the state variable. We derive convergence rates if the control space is discretized implicitly by the state equation. In contrast to
Ortner, Christoph +4 more
core +1 more source
Pointwise convergence fails to be strict [PDF]
summary:It is known that the ring $B(\mathbb R)$ of all Baire functions carrying the pointwise convergence yields a sequential completion of the ring $C(\mathbb R)$ of all continuous functions.
Borsík, Ján +2 more
core +1 more source
Pointwise convergence of Birkhoff averages for global observables. [PDF]
It is well-known that a strict analogue of the Birkhoff Ergodic Theorem in infinite ergodic theory is trivial; it states that for any infinite-measure-preserving ergodic system, the Birkhoff average of every integrable function is almost everywhere zero.
M. Lenci, S. Munday
semanticscholar +1 more source
A pointwise ergodic theorem for Fuchsian groups [PDF]
We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian ...
Bufetov, Alexander I. +3 more
core +1 more source
We present a decomposition of two topologies which characterize the upper and lower semicontinuity of the limit function to visualize their hidden and opposite roles with respect to the upper and lower semicontinuity and consequently the continuity of ...
Agata Caserta
doaj +1 more source
Convergence for a Fixed Point of Evolution Families in Banach Space via Iterative Process
In this paper, we present the convergence of Krasnoselskii Mann iterative process for common fixed points of pointwise Lipschitzian evolution family of bounded nonlinear operators on a Banach space ℜ.
Musharaf Shah +5 more
doaj +1 more source
Pointwise Convergence of Trigonometric Series [PDF]
We establish two results in the pointwise convergence problem of a trigonometric series for some nonnegative integer m. These results not only generalize Hardy's theorem, the Jordan test theorem and Fatou's theorem, but also complement the results on pointwise convergence of those Fourier series associated with known L1-convergence classes.
openaire +2 more sources
Pointwise in Terms of Weak Convergence [PDF]
Let ( Ω ,
openaire +1 more source
Based on the topological sum, for X being a discrete topological space, we prove that the product topology generated by some topological spaces is equal to the topology of pointwise convergence related to X.
Chong SHEN, Wei YAO
doaj +1 more source

