Sentence examples for maximal inequalities for from inspiring English sources

Prakasa Rao [8] established some maximal inequalities for demisubmartingales.

The main purpose of this paper is to prove the sharp maximal inequalities for the commutator.

We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004).

Prakasa Rao [6] established some maximal inequalities for demisubmartingales and N-demisuper-martingales.

The main purpose of this paper is to prove the sharp maximal inequalities for the multilinear operator T b.

Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion.

Firstly, the maximal inequality for -mixing sequences is given.

Kotelenez [3] gives a maximal inequality for stochastic convolution integrals.

Chow [1] proved a maximal inequality for submartingales.

Corollary 2.4 (Doob's type maximal inequality for demimartingales).

The proofs are based on the maximal inequality for stochastic convolution integrals, that is, Theorem 1.