Results 41 to 50 of about 656 (184)

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

Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems

Journal of Inequalities and Applications, 2020
In this paper, we consider some types of scalar equations and systems of generalized one-dimensional Minkowski-curvature problems. Using an inequality technique, we establish several new Lyapunov-type inequalities for the problems considered. Our results
Haidong Liu
doaj   +1 more source

Lp-Curvature Measures and Lp,q-Mixed Volumes

Journal of Function Spaces, 2022
Motivated by Lutwak et al.’s Lp-dual curvature measures, we introduce the concept of Lp-curvature measures. This new Lp-curvature measure is an extension of the classical surface area measure, Lp-surface area measure, and curvature measure. In this paper,
Tongyi Ma
doaj   +1 more source

Work Versus Force: Simultaneous Processes for Describing Interactions

Advanced Physics Research, Volume 5, Issue 6, June 2026.
ABSTRACT Achieving a unified description of interactions remains an open challenge in theoretical physics, which currently describes four fundamental forces. This situation may be viewed differently when interactions are formulated in terms of processes (work as actio) rather than forces (force as actio), not only at the macroscopic level but also at ...
Grit Kalies, Duong D. Do, Cornelia Breitkopf   +2 more
wiley   +1 more source

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley   +1 more source

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

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 8681-8690, June 2026.
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

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

Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation

Journal of Applied Mathematics, 2016
Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on Sn.
Siyuan Li
doaj   +1 more source

Row‐Aware Randomized SVD With Applications

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT The randomized singular value decomposition proposed in [28] has certainly become one of the most well‐established randomization‐based algorithms in numerical linear algebra. The key ingredient of the entire procedure is the computation of a subspace which is close to the column space of the target matrix A∈ℝm×n$$ \mathbf{A}\in {\mathbb{R}}^{m\
Davide Palitta, Sascha Portaro
wiley   +1 more source

Some new refinements of the Young, Hölder, and Minkowski inequalities

Journal of Inequalities and Applications, 2023
We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0 ...
Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec   +2 more
doaj   +1 more source