Results 31 to 40 of about 1,225,050 (328)

On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]

open access: yesMathematica Bohemica, 2016
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]

open access: yes, 2011
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]

open access: yes, 1998
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]

open access: yesChaos, 2018
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]

open access: yes, 2010
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

Decomposition of Topologies Which Characterize the Upper and Lower Semicontinuous Limits of Functions

open access: yesAbstract and Applied Analysis, 2011
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

open access: yesJournal of Mathematics, 2022
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]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987
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]

open access: yesProceedings of the American Mathematical Society, 1974
Let ( Ω ,
openaire   +1 more source

Functional product topology: A common framework of the topological sum, the product topology and the functional topology of pointwise convergence

open access: yesJournal of Hebei University of Science and Technology, 2015
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

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