Search results for "integral"

A decomposition of Denjoy-Khintchine-Pettis and Henstock-Kurzweil-Pettis integrable multifunctions

2010

We proved in one of our earlier papers that in case of separable Banach space valued multifunctions each Henstock-Kurzweil-Pettis integrable multifunction can be represented as a sum of one of its Henstock-Kurzweil-Pettis integrable selector and a Pettis integrable multifunction. Now, we prove that the same result can be achieved in case of an arbitrary Banach space. Moreover we show that an analogous result holds true also for the Denjoy-Khintchine-Pettis integrable multifunctions. Applying the representation theorem we describe the multipliers of HKP and DKP integrable functions. Then we use this description to obtain an operator characterization of HKP and DKP integrability.

Representation of quasi-measure by a Henstock-Kurzweil type integral on a compact zero-dimensional metric space

2009

A derivation basis is introduced in a compact zero-dimensional metric space X. A Henstock-Kurzweil type integral with respect to this basis is defined and used to represent the so-called quasi-measure on X.

MR2741185 Talvila, Erik The regulated primitive integral. Illinois J. Math. 53 (2009), no. 4, 1187–1219. (Reviewer: Luisa Di Piazza) 46G12 (26A39 46E…

2010

Talvila Erik, The regulated primitive integral. Illinois J. Math. 53 (2009), no. 4, 1187–1219, 46Gxx (26A39 46Exx) MR 2 741 185 A descriptive definition of an integral is a definition which provides a ``description'' of the space of primitives. The derivatives in some sense of the primitives are the integrands. In this paper the author introduces a descriptive method of integrating distributions: the regulated primitive integral. The set $\textbf{B}_R= \{F: [-\infty,\infty] \rightarrow {\bf R} \ \ | \mbox{ F {\it is regulated and left continuous on }}\\ \ \ {\bf R}, \ \ F(-\infty)=0, \ \ F(\infty)\in {\bf R}\}$ is the family of primitives. The derivative here is in the sense of the distribu…

A Riemann sums method in the Theory of vector Integration

2010

Relaxation result for differential inclusions with Stieltjes derivative

2023

The aim of this paper is to provide a Filippov-Wa\.{z}ewski Relaxation Theorem for the very general setting of Stieltjes differential inclusions. New relaxation results can be deduced for generalized differential problems, for impulsive differential inclusions with multivalued impulsive maps and possibly countable impulsive moments and also for dynamic inclusions on time scales.

The Henstock-Kurzweil-Stieltjes type integral for real functions on a fractal subset of the real line

2011

The aim of this paper is to introduce an Henstock-Kurzweil type integration process for real functions on a fractal subset E of the real line.

Relativismo, gerarchia dei bisogni e sviluppo integrale delle aziende

2010

La diffusione di una cultura meramente progettuale acritica sui fini del progetto e concentrata sul risultato economico-finanziario dello stesso è espressione di un relativismo dilagante che non solo va combattuto sul piano etico ma va ricondotto nel giusto alveo per la salvaguardia stessa delle aziende e del loro sviluppo integrale. La finanziarizzazione dell'economia e la devastante crisi in atto nel sistema socio-economico ne sono un patente effetto. Con questo studio ci si propone di riprendere, in una prospettiva di supporto alla continuità fisiologica delle aziende nel tempo, l'analisi dei bisogni come chiave interna ed esterna di supporto critico per la valutazione dei progetti, che …

Benedetto XVI e il compito urgente dell’educazione

2015

All’origine della riflessione sull’urgenza di una Nuova Evangelizzazione ci sta la constatazione di una diffusa situazione di crisi di valori cristiani e educativi, percepibili soprattutto nei Paesi di antica cristianità. Più volte, nei suoi discorsi, Benedetto XVI concentra l’attenzione sulla necessità di educazione: in primo luogo dei genitori «preoccupati e spesso angosciati per il futuro dei loro figli» degli insegnanti «che vivono la triste esperienza del degrado delle scuole» e della società stessa «che vede messe in dubbio dalla crisi dell’educazione le basi stesse della convivenza». Si evidenzia la necessità dell’educazione principalmente per le nuove generazioni. Ma la percezione d…

Probabilistic response of linear structures equipped with nonlinear dampers devices (PIS method)

2008

Passive control introducing energy absorbing devices into the structure has received considerable attention in recent years. Unfortunately the constitutive law of viscous fluid dampers is highly nonlinear, and even supposing that the structure behaves linearly, the whole system has inherent nonlinear properties. Usually the analysis is performed by a stochastic linearization technique (SLT) determining a linear system equivalent to the nonlinear one, in a statistical sense. In this paper the effect of the non-Gaussianity of the response due to the inherent nonlinearity of the damper device will be studied in detail via the Path Integral Solution (PIS) method. A systematic study is conducted…

Depth-of-Field Enhancement in Integral Imaging by Selective Depth-Deconvolution

2014

One of the major drawbacks of the integral imaging technique is its limited depth of field. Such limitation is imposed by the numerical aperture of the microlenses. In this paper, we propose a method to extend the depth of field of integral imaging systems in the reconstruction stage. The method is based on the combination of deconvolution tools and depth filtering of each elemental image using disparity map information. We demonstrate our proposal presenting digital reconstructions of a 3-D scene focused at different depths with extended depth of field.