Search Results - Integration with respect to measures and other set functions

Balayage of Measures with Respect to (Sub-)Harmonic Functions by Khabibullin, B. N.

“…We investigate some properties of balayage, or, sweeping (out), of measures with respect to subclasses of subharmonic functions…”
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Elliptic Theory for Sets with Higher Co-dimensional Boundaries by David, G., Feneuil, J., Mayboroda, S.

“…Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension…”
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The Bartle-Dunford-Schwartz integral : Integration with respect to Sigma-Additive vector measure by Panchapagesan, T. V.

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A Hausdorff-measure boundary element method for acoustic scattering by fractal screens by Caetano, A. M., Chandler-Wilde, S. N., Gibbs, A., Hewett, D. P., Moiola, A.

“…) where each BEM basis function is supported in a fractal set, and the integration involved in the formation of the BEM matrix is with respect to a non-integer order Hausdorff measure rather than the usual (Lebesgue) surface measure…”
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Numerical quadrature for singular integrals on fractals by Gibbs, Andrew, Hewett, David, Moiola, Andrea

“… The integration domain Γ ⊂ R n is assumed to be the compact attractor of an iterated function system of contracting similarities satisfying the open set condition…”
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Vector valued information measures and integration with respect to fuzzy vector capacities by Sánchez Pérez, E.A., Szwedek, R.

“… Motivated by some current developments in Information Science, we apply the integration of scalar functions with respect to vector-valued fuzzy measures, also called vector capacities. Bartle–Dunford…”
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Overlapping Iterated Function Systems from the Perspective of Metric Number Theory by Baker, Simon

“… This approach is inspired by a famous result due to Khintchine from Diophantine approximation which shows that for a family of limsup sets, their Lebesgue measure is determined by the convergence…”
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Integration with respect to deficient topological measures on locally compact spaces by Butler, Svetlana V

“… Such an integration over sets yields a new deficient topological measure if we integrate a nonnegative continuous vanishing at infinity function…”
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Cross theorem for separately real-analytic functions: Cross theorem for separately real-analytic functions by Alimardon, Atamuratov, Kamol, Rasulov

“…The present work is devoted to the study of R -analyticity with respect to the set of variables of separately R -analytic functions…”
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Domain theory and integration by Edalat, Abbas

“…We present a domain-theoretic framework for measure theory and integration of bounded real-valued functions with respect to bounded Borel measures on compact metric spaces…”
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Investigation of a fixed point problem for Pata-type contractions with respect to w-distance by Roy, Subhadip, Chakraborty, Priyam, Ghosh, Sumon, Saha, Parbati, Choudhury, Binayak S.

“…Pata-type mappings satisfy an uncountably infinite set of inequalities parameterized by an index varying over a closed interval…”
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On integration with respect to a DT-measure by Svistula, Marina

“…DT -measures generalize the topological measures of Aarnes. We continue to study an integral of a real-valued continuous function on compact Hausdorff space with respect to a DT -measure and investigate the following…”
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Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets by Gibbs, A., Hewett, D. P., Major, B.

“…We consider the numerical evaluation of a class of double integrals with respect to a pair of self-similar measures over a self-similar fractal set…”
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Integral Representation of Continuous Operators with Respect to Strict Topologies by Nowak, Marian

“… ) with respect to the representing Borel measure taking values in the bidual E ξ ′ ′ of ( E , ξ ) . It is shown that every…”
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INTEGRABILITY OF AN INTERVAL-VALUED MULTIFUNCTION WITH RESPECT TO AN INTERVAL-VALUED SET MULTIFUNCTION by Pap, Endre, Iosif, Alina, Gavrilut, Alina

“… to an interval-valued set multifunction, with respect to Guo and Zhang order relation. Classical and specific properties of this new type of integral are established…”
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Concentration of Measure for Quantum States with a Fixed Expectation Value by Müller, Markus P., Gross, David, Eisert, Jens

“…: any continuous function on this set is almost everywhere close to its mean. We also give a method to estimate the corresponding expectation values analytically, and we prove…”
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A note on the space of fuzzy measurable functions for a monotone measure by Wu, Chong, Ren, Xuekun, Wu, Congxin

“…In this paper, we give a necessary and sufficient condition to guarantee that the space of all finite measurable functions for a monotonic measure is a topological vector space with a countable local…”
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Extremal measures with prescribed moments by Rajba, Teresa, Wąsowicz, Szymon

“… (in the sense of extreme points of a convex set). Of course, the quadratures are the integrals with respect to discrete measures and, moreover, a quadrature is extremal if and only if the associated measure is extremal…”
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Special fuzzy measures on infinite countable sets and related aggregation functions by STUPNANOVA, Andrea

“…While both additive and symmetric fuzzy measures on a finite universe are completely described by a probability distribution vector, this is no more the case of a countably infinite universe…”
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Some remarks on primeness and dynamics of some classes of entire functions by Charak, Kuldeep Singh, Kumar, Manish, Singh, Anil

“…In this paper we investigate the primeness of a class of entire functions and discuss the dynamics of a periodic member f of this class with respect to a transcendental entire function g that permutes with f…”
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