Results 51 to 60 of about 623,284 (221)

Random Clarkson inequalities and LP version of Grothendieck' s inequality [PDF]

, 1985
In a recent paper Kato [3] used the Littlewood matrices to generalise Clarkson's inequalities. Our first aim is to indicate how Kato's result can be deduced from a neglected version of the Hausdorff-Young inequality which was proved by Wells and ...
Tonge, A
core  

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Minkowski Inequality in Cartan–Hadamard Manifolds

International Mathematics Research Notices, 2023
Abstract Using harmonic mean curvature flow, we establish a sharp Minkowski-type lower bound for total mean curvature of convex surfaces with a given area in Cartan-Hadamard $3$-manifolds. This inequality also improves the known estimates for total mean curvature in hyperbolic $3$-space.
Ghomi, Mohammad, Spruck, Joel
openaire   +2 more sources

Existence of Solutions of Semilinear Wave Equations With Time‐Dependent Propagation Speed and Time Derivative Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley   +1 more source

On Isoperimetric Inequalities in Minkowski Spaces [PDF]

Journal of Inequalities and Applications, 2010
This paper gives a collection of isoperimetric-type inequalities involving convex bodies, their intersection and projection bodies, polars and Steiner symmetrals, and states some conjectures and open questions. It is shown how some of these inequalities are related to classic isoperimetric problems in Minkowski geometry.
Mustafaev Zokhrab, Martini Horst
openaire   +4 more sources

Robust Adaptive Model Predictive Control for Tracking in Interconnected Systems via Distributed Optimization

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero, Elisa Capello, Andrea Iannelli   +2 more
wiley   +1 more source

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

International Journal of Mathematics and Mathematical Sciences
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah, Edward Prempeh
doaj   +1 more source

Dynamic Event‐Triggered Robust Model Predictive Control for Quadrotor Trajectory Tracking

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the trajectory tracking problem for a full‐state quadrotor subject to physical model constraints and unknown external disturbances. A robust tube‐based model predictive control (MPC) approach is successfully applied to the system, which is subject to bounded disturbances and hard constraints.
Ali Can Erüst, Fatma Yıldız Taşcıkaraoğlu, İbrahim Beklan Küçükdemiral   +2 more
wiley   +1 more source

On discrete $$L_p$$ Brunn–Minkowski type inequalities

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022
Abstract$$L_p$$ L p Brunn–Minkowski type inequalities for the lattice point enumerator $$\mathrm {G}_n(\cdot )$$ G n
María A. Hernández Cifre, Eduardo Lucas, Jesús Yepes Nicolás   +2 more
openaire   +2 more sources

The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator [PDF]

Sahand Communications in Mathematical Analysis
A generalized integral operator of order $\alpha$ of a real function $f$  including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. P.
Hadiseh Fallah Andevari, Azizollah Babakhani, Daniela Oliveira   +2 more
doaj   +1 more source