[3] viXra:1411.0560 [pdf] submitted on 2014-11-25 09:47:20
Authors: Antonio Boccuto, Xenofon Dimitriou
Comments: 8 Pages.
We consider (strong uniform) continuity of the
limit of a pointwise convergent net of lattice
group-valued functions, (strong weak)
exhaustiveness and (strong)
alpha-convergence with respect to a pair
of filters, which in the setting of nets are
more natural than the corresponding notions
formulated with respect to a single filter. Some
comparison results are given between such concepts, in connection with suitable properties of filters. Moreover, some modes of filter
(strong uniform) continuity for lattice
group-valued functions are investigated, giving
some characterization. As an application, we get
some Ascoli-type theorem in an abstract setting,
extending earlier results to the context of filter
alpha-convergence.
Category: Functions and Analysis
[2] viXra:1411.0548 [pdf] submitted on 2014-11-23 10:10:13
Authors: Edigles Guedes
Comments: 9 pages.
I proved some infinity series power and integral representations for error function
and relations for special functions.
Category: Functions and Analysis
[1] viXra:1411.0228 [pdf] replaced on 2014-11-23 09:56:15
Authors: Edigles Guedes
Comments: 7 pages
I prove one expansion of infinite serie and some integral representations for Bessel function of the first kind.
Category: Functions and Analysis