Results 71 to 80 of about 627,608 (258)

Fractional generalizations of Young and Brunn-Minkowski inequalities

, 2011
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for certain parameter ranges.
Bobkov, Sergey, Madiman, Mokshay, Wang, Liyao   +2 more
core   +1 more source

The Brunn--Minkowski inequality and a Minkowski problem for 𝒜-harmonic Green's function

Advances in Calculus of Variations, 2019
In this article we study two classical problems in convex geometry associated to 𝒜{\mathcal{A}}-harmonic PDEs, quasi-linear elliptic PDEs whose structure is modelled on the p-Laplace equation.
M. Akman, Johnny M. Lewis, Olli Saari, A. Vogel   +3 more
semanticscholar   +1 more source

Solving Large‐Scale Weapon Target Assignment Problems in Seconds Using Branch‐Price‐And‐Cut

Naval Research Logistics (NRL), EarlyView.
ABSTRACT This paper proposes a framework based on branch‐price‐and‐cut to solve the weapon target assignment (WTA) problem, a popular class of non‐linear assignment problems that has received significant attention over the past several decades. We first reformulate the WTA into a form amenable to column generation and then derive efficient algorithms ...
Dimitris Bertsimas, Alex Paskov
wiley   +1 more source

Sensitivity‐Based Distributed Model Predictive Control for Non‐Linear Systems Under Inexact Optimization

Optimal Control Applications and Methods, EarlyView.
This article introduces a novel sensitivity‐based algorithm for nonlinear distributed model predictive control. The algorithm requires only local computations with one neighbor‐to‐neighbor communication step per iteration and exhibits a linear order of convergence under suitable conditions.
Maximilian Pierer von Esch, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

Journal of Inequalities and Applications, 2020
This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel consequences connected with this inequality, together
Saima Rashid, Ahmet Ocak Akdemir, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Gauhar Rahman   +4 more
doaj   +1 more source

Tensor Changepoint Detection and Eigenbootstrap

Journal of Time Series Analysis, EarlyView.
ABSTRACT Tensor data consisting of multivariate outcomes over the items and across the subjects with longitudinal and cross‐sectional dependence are considered. A completely distribution‐free and tweaking‐parameter‐free detection procedure for changepoints at different locations is designed, which does not require training data.
Michal Pešta, Barbora Peštová, Martin Romaňák   +2 more
wiley   +1 more source

Some sharp Sobolev inequalities on $ BV({\mathbb{R}}^n) $

AIMS Mathematics, 2022
In this paper, some sharp Sobolev inequalities on $ BV({\mathbb{R}}^n) $, the space of functions of bounded variation on $ {\mathbb{R}}^n $, $ n\geq 2 $, are deduced through the $ L_p $ Brunn-Minkowski theory.
Jin Dai , Shuang Mou
doaj   +1 more source

6. A note on the quantitative local version of the log-Brunn–Minkowski inequality [PDF]

, 2017
We prove that the log-Brunn-Minkowski inequality \begin{equation*} |\lambda K+_0 (1-\lambda)L|\geq |K|^{\lambda}|L|^{1-\lambda} \end{equation*} (where $|\cdot|$ is the Lebesgue measure and $+_0$ is the so-called log-addition) holds when $K\subset\mathbb ...
A. Colesanti, G. Livshyts
semanticscholar   +1 more source

Optimal Contracts for Delegated Order Execution

Mathematical Finance, EarlyView.
ABSTRACT We determine the optimal affine contract for a client who delegates their order execution to a dealer. Existence and uniqueness are established for general linear price impact dynamics of the dealer's trades. Explicit solutions are available for the model of Obizhaeva and Wang, for example, and a simple gradient descent algorithm is applicable
Martin Larsson, Johannes Muhle‐Karbe, Benjamin Weber   +2 more
wiley   +1 more source

On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space

, 2018
Using the weak solution of Inverse mean curvature flow, we prove the sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space.Comment: minor revision, accepted by Calculus of Variations and ...
Wei, Yong
core   +1 more source