Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...

The guaranteed-performance consensus tracking (GPCT) for non-linear multi-agent systems (MASs) with switching communication topologies is presented. Different from the existing work, range of one-sided Lipschitz MASs wider than ones, and upper bound performance given while achieving tracking. First, a control protocol proposed, where regulation involved. Then, by linear matrix inequality (LMI),...

This paper addresses adaptive observer design problem for joint estimation of the states and unknown parameters for a class of nonlinear systems which satisfying one-sided Lipschitz and quadratic inner bounded conditions. It’s shown that the stability of the proposed observer is related to finding solutions to a quadratic inequality consists of state and parameter errors. A coordinate transform...

we report the cases of two patients diagnosed with morgagni hernia who presented with nonspecific abdominal symptoms. both underwent laparo­scopic surgery that used a dual-sided mesh, polyvinylidene fluoride (pvdf; dynamesh ipom®). the procedures were successful and both patients were discharged with no complications. there was no recurrence in 18 months of follow up. herein is the report of th...

In this note we introduce strongly Lipschitz p-integral operators, strongly Lipschitz p-nuclear operators and Lipschitz p-nuclear operators. It is shown that for a linear operator, the Lipschitz p-nuclear norm is the same as its usual p-nuclear norm under certain conditions. We also prove that the Lipschitz 2-dominated operators and the strongly Lipschitz 2-integral operators are the same with ...

A Chernoff-type distribution is a nonnormal defined by the slope at zero of greatest convex minorant two-sided Brownian motion with polynomial drift. While known to appear as distributional limit in many nonregular statistical estimation problems, accuracy approximations has remained largely unknown. In present paper, we tackle this problem and derive Berry–Esseen bounds for distributions canon...

‎In this work we prove Malliavin differentiability for the solution to an SDE with locally Lipschitz and semi-monotone drift‎. ‎To prove this formula‎, ‎we construct a sequence of SDEs with globally Lipschitz drifts and show that the $p$-moments of their Malliavin derivatives are uniformly bounded‎.