Results 61 to 70 of about 1,075 (214)

Geometric inequalities for spacelike hypersurfaces in the Minkowski spacetime [PDF]

, 2019
We derive a linear isoperimetric inequality and some geometric inequalities for properly located compact achronal spacelike hypersurfaces via a Minkowski-type integral formula in the Minkowski spacetime. (C) 2001 Elsevier Science B.V. All rights reserved.
Bahn, H, Hong, SP
core   +1 more source

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, Volume 28, Issue 4, Page 1649-1672, July 2026.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source

Random Diophantine equations in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley   +1 more source

Reverse generalized Holder and Minkowski type inequalities and their applications [PDF]

, 2010
In this paper we give a reverse generalization of the generalized Holder and Minkowski type inequalities and their applications to inverse source problems.En este artículo damos una generalización de la desigualdad inversa generalizada de Holder y ...
Erlín Castillo, René, Trousselot, Eduard, Castillo, René   +2 more
core  

THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS

Фізико-математична освіта
Formulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
doaj   +1 more source

Ostrowski Type Inequalities for s-Convex Functions via q-Integrals

Journal of Function Spaces, 2022
The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan, Allah Ditta, Ammara Nosheen, Khalid Mahmood Awan, Rostin Matendo Mabela   +4 more
doaj   +1 more source

Sections and projections of the outer and inner regularizations of a convex body

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley   +1 more source

Further Integral Inequalities through Some Generalized Fractional Integral Operators

Fractal and Fractional, 2021
In this article, we utilize recent generalized fractional operators to establish some fractional inequalities in Hermite–Hadamard and Minkowski settings.
Abd-Allah Hyder, Mohamed A. Barakat, Ashraf Fathallah, Clemente Cesarano   +3 more
doaj   +1 more source

The role of the curvature of a surface in the shape of the solutions to elliptic equations

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali, Massimo Grossi, Luigi Provenzano   +2 more
wiley   +1 more source

Improving robust decisions with data

Theoretical Economics, Volume 21, Issue 3, Page 888-927, July 2026.
A decision‐maker faces uncertainty governed by a data‐generating process (DGP), which is only known to belong to a set of sequences of independent but possibly non‐identical distributions. A robust decision maximizes the expected payoff against the worst possible DGP in this set.
Xiaoyu Cheng
wiley   +1 more source