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Fubini’s theorem for Daniell integrals
Archiv der MathematikAbstractWe show that in the theory of Daniell integration iterated integrals may always be formed, and the order of integration may always be interchanged. By this means, we discuss product integrals and show that the related Fubini theorem holds in full generality.
Götz Kersting, Gerhard Rompf
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Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
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Hardy-Copson Type Inequalities on Time Scales for the Functions of “n” Independent Variables
International Journal of Analysis and Applications, 2019 The paper consists of some extensions in Hardy and Copson type inequalities on time scales. The main results are proved by using induction principle, Rules to find derivatives for composition of two functions, H¨older’s inequality and Fubini’s theorem in
M. Shahzad Ashraf +2 more
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Cardinal conditions for strong Fubini theorems [PDF]
Transactions of the American Mathematical Society, 1990 If κ 1 , κ 2 , … , κ n {\kappa _1},{\kappa _2}, \ldots ,{\kappa _n} are cardinals with κ 1 {\kappa _1}
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A note on a.s. finiteness of perpetual integral functionals of diffusions [PDF]
, 2005 In this note, with the help of the boundary classification of diffusions, we derive a criterion of the convergence of perpetual integral functionals of transient real-valued diffusions.
Salminen, Paavo, Yor, Marc
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A Robust Iterative Unfolding Method for Signal Processing [PDF]
, 2006 There is a well-known series expansion (Neumann series) in functional analysis for perturbative inversion of specific operators on Banach spaces. However, operators that appear in signal processing (e.g.
András László +9 more
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Topology and its Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Naval Research Logistics (NRL), EarlyView.ABSTRACT We are concerned with the stability of a transferable‐utility cooperative (TU) game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings. This principle of consensual blocking, as well as the traditional core‐defining one of unilateral blocking and one straddling in ...
Jian Yang
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A Nonstandard Functional Approach to Fubini's Theorem [PDF]
Proceedings of the American Mathematical Society, 1985 In this note we use a functional approach to the integral to obtain a special case of the Keisler-Fubini theorem; the general case can be obtained with a similar proof. An immediate application is the standard Fubini theorem for products of Radon measures. Similar methods give the Weil formula for quotient groups of compact Abelian groups.
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