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Convergence of Infinite Composition of Entire Functions
Infinite Composition Entire Functions
2010/12/6
The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions be-comes an entire function. Moreover, as an example of such functio...
Convergence of Unbounded Multivalued Supermartingales in the Mosco and Slice Topologies
Unbounded Multivalued Supermartingales Mosco Slice Topologies
2009/1/22
Our starting point is the Mosco-convergence result due to Hess ([18]) for integrable multivalued supermartingales whose values may be unbounded, but are majorized by a $w$-ball-compact-valued function...
Painleve-Kuratowski convergence results are obtained, under sufficient conditions of minimal character, for approximate Nash equilibria of two sequences of real valued functions. Moreover, an applicat...
Memory Effects and $\boldsymbol{\Gamma}$-Convergence：A Time Dependent Case
Time Dependent Case Memory Effects $\boldsymbol{\Gamma}$-Convergence
2009/1/19
We study the asymptotic behavior of the energy functional associated to the parametric equation $\partial_t u_\varepsilon(t, x)$ $+ a_\varepsilon(t, x) g (u_\varepsilon(t, x)) =f(t, x)$, $u_\varepsil...
Epi-Distance Convergence of Parametrised Sums of Convex Functions in Non-Reflexive Spaces
Epi-Distance Convergence Parametrised Sums Convex Functions Non-Reflexive Spaces
2009/1/13
A weakened set of conditions is established for the epi-distance convergence of a sum $\{f_v+g_v\}_{v\in W}$ of parametrised closed convex functions $\{f_v\}_{v\in W}$ and $\{g_v\}_{v\in W}$ for $v\to...
Inequalities of Maximum of Partial Sums and Weak Convergence for a Class Weak Dependent Random Variables
$\rho^{-}$-mixing $\rho^{*}$-mixing NA rosenthal type inequalities weak convergence
2007/12/12
In this paper, we establish a Rosenthal-type inequality of the maximum of partial sums for $\rho^{-}$-mixing random fields. As its applications we get the H\'{a}jeck--R\`{e}nyi inequality and weak con...