In this paper, we prove an inequality, which we call " Devroye inequality " , for a large class of non-uniformly hyperbolic dynamical systems (M, f). This class, introduced by L.-S. Young, includes families of piece-wise hyperbolic maps (Lozi-like maps), scattering billiards (e.g., planar Lorentz gas), unimodal and Hénon-like maps. Devroye inequality provides an upper bound for the variance of ...

In this paper, we present some refinements of reverse Young?s inequalities. Among other results, a refinement operator Young inequalities says A?vB + 2?(A?B ? A?B) m??M / A?vB, where 0 < mI A, B MI, = min{v, 1 v} and v [0, 1], extending key result in [J. Math. Anal. Appl. 465 (2018) 267-280] [Linear Multilinear Algebra 67 (2019) 1567-1578]. Furthermore, give due to [Math. Slovaca 70 (2020), ...

OBJECTIVE To estimate the degree of educational inequality in the occurrence of abdominal obesity in a population of non-faculty civil servants at university campi.METHODS In this cross-sectional study, we used data from 3,117 subjects of both genders aged 24 to 65-years old, regarding the baseline of Pró-Saúde Study, 1999-2001. Abdominal obesity was defined according to abdominal circumference...

Abstract For an irreducible and nonpositive matrix, we present the concepts of Perron complement matrix generalized matrix. An inequality that relates matrices inverse N 0 -matrices is derived. In addition, obtain quotient formula based on for Schur complements.

The solvability of the fractional partial differential equation with integral overdetermination condition for an inverse problem is investigated in this paper. We analyze direct solution by using “energy inequality” method. Using fixed point technique, existence and uniqueness on data are established.

We study mappings satisfying the so-called inverse Poletsky inequality. Under integrability of corresponding majorant, it is proved that these are logarithmic Hölder continuous in neighborhood boundary points. In particular, indicated properties hold for homeomorphisms whose satisfy weighted

This paper investigates the effects of taxation on income inequality in an unbalanced panel 45 countries sub-Saharan Africa over period 1980–2018. We use instrumental-variable two-stage least squares and quantile regression estimates. find that widens inequality. also show increasing are higher most unequal than countries. Furthermore, we highlight inverse U-shaped relationship between indirect...

Let D be a connected balanced digraph. The classical distance dijD from vertex i to j is the length of shortest directed path in D. L Laplacian matrix and L†=(lij†) Moore–Penrose inverse L. resistance rijD then defined by rijD≔lii†+ljj†−2lij†. C collection digraphs, each member which finite union form D1∪D2∪....∪Dk where Dt digraph with Dt∩(D1∪D2∪⋯∪Dt−1) being single vertex, for all 1<t≤k. In t...