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27.939  Articles
1 of 2.795 pages  |  10  records  |  more records»
We obtain the strengthened Kolmogorov comparison theorem in asymmetric case.In particular, it gives us the opportunity to obtain the following strengthened Kolmogorov inequality in the asymmetric case:?x(k)±?8=?fr-k(·;a,ß)±?8E0(fr(·;a,ß))1-k/r8|||x|||1-k/... see more

Analogues of Kolmogorov comparison theorems and some of their applicatons were established.

This paper is devoted to solving multidimensional anticipated backward stochastic differential equations (anticipated BSDEs for short) with a kind of non-Lipschitz generators. We establish the existence and uniqueness result for L2 solutions of this kind ... see more

We study the possibility of extension for every function f?L8(R)f\in L_{\infty}(\mathbb{R}) from any monotonicity interval II of function ff to the whole axis with retaining norms of ff and f(r)f^{(r)} on interval.

The present paper defines the Sturm separation and Sturm comparison theorems for the generalized derivative. The generalized derivative is defined with respect to weight function and another function. Further, we define the generalized Sturm--Liouville pr... see more

We present a survey of the most important inequalities and monotonicity, concavity (convexity) results of the zeros of Bessel functions. The results refer to the de?nition J?? of the zeros of C? (x) = J? (x) cosa -Y? (x) sina, formulated in [6], where ? i... see more

Context. We consider a Kolmogorov-Wiener filter for fractal random processes, which, for example, may take place in moderninformation-telecommunication systems and in control of complex technological processes. The weight function of the consideredfilter ... see more

J M Keynes was an acknowledged, world renown, and internationally recognized expert in probability and statistics in the 1930’s based on his A Treatise on Probability (1921). . Keynes had been selected by statistics journals to serve as a referee during t... see more

We prove the equivalence theorem for additive inequalities on a finite interval. Besides, we describe a pair of constants so that the additive inequalities with that constants are valid on the whole class of functions LsL_s.

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