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A class of stationary stochastic processes

100%

Didenko V., Rozhenko N.

Studia Mathematica

2014

tom 222

nr 3

191-205

Regular stationary stochastic vector processes whose spectral densities are the boundary values of matrix functions with bounded Nevanlinna characteristic are considered. A criterion for the representability of such processes as output data of linear time invariant dynamical systems is established.

Power means and the reverse Hölder inequality

100%

Didenko V., Korenovskyi A.

Studia Mathematica

2011

tom 207

nr 1

85-95

Let w be a non-negative measurable function defined on the positive semi-axis and satisfying the reverse Hölder inequality with exponents 0 < α < β. In the present paper, sharp estimates of the compositions of the power means $𝓟_{α}w(x): = ((1/x) ∫_{0}^{x} w^{α}(t)dt)^{1/α}$, x > 0, are obtained for various exponents α. As a result, for the function w a property of self-improvement of summability exponents is established.

Ograniczanie wyników

2 Studia Mathematica

2 Didenko V.

1 Korenovskyi A.

1 Rozhenko N.

1 2014

1 2011

Wyniki wyszukiwania

A class of stationary stochastic processes

Power means and the reverse Hölder inequality