Integration of vector-valued functions and optimal estimation of stochastic processesIn this section. we investigate the so-called prognosis problem which can be formulated as follows. Suppose that two stochastic processes X and Y are given, such that X is not accessible for a direct observation, ...
This paper extends the theory of scalar-valued integrable functions with respect to vector measures defined on -rings to the case of vector-valued tensor integrable functions with respect to vector measures defined on -rings. This paper also generalizes some results of G. F. Stefánsson for tensor...
Deficiency of E-valued meromorphic functions [[N.sub.1]] Nowak, M., Duality theory of vector valued function spaces I, Comment. Yosida-Hewitt type decompositions for order-weakly compact operators where F : [R.sup.n] x [OMEGA] [right arrow] [R.sup.n] denotes a vector valued function,...
9 Derivatives Just as for real-valued functions, the second derivative of a vector function r is the derivative of r, that is, r = (r). For instance, the second derivative of the function, r(t) = 2 cos t, sin t, t , is r t = –2 cos t, –sin t...
An integration theory of real valued functions with respect to Banach space valued measures is developed. Geometric properties of nonstandard hulls are also investigated. Some applications are given. 1992.doi:10.1016/0022-1236(92)90004-3Yeneng Sun...
We extend the V BG* property to the context of vector-valued functions and give some characterizations of this property. Necessary and sufficient conditions for vector-valued VBG* functions to be continuous or weakly continuous, except at most on a countable set, are obtained. MSC: Primary 26A4...
R. B. B. Lucyshyn-Wright, Riesz-Schwartz extensive quantities and vector- valued integration in closed categories, Ph.D. thesis, York University, 2013, arXiv:1307.8088.Riesz-Schwartz extensive quantities and vector-valued integration in closed categories - Lucyshyn-Wright - 2013...
Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay Applied Mathematics and Computation, Volume 292, 2017, pp. 425-447 ZuomaoYan,FangxiaLu Strong local optimality for bang-bang-singular extremals in single input control prob...
Linear Hash Functions It then moves on to cover the Lebesgue measures, integration on the real line, basic limit theorems, and normed vector spaces. The Lebesgue and Riemann integrals are compared. Real Analysis: Measure and Integration He said the theme of the conference will cover the major ...
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