Results 61 to 70 of about 652 (179)

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
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

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]

Mathematical Inequalities & Applications, 2005
Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Abramovich, S., Pečarić, J., Varošanec, S.   +2 more
openaire   +3 more sources

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

International Journal of Robust and Nonlinear Control, Volume 36, Issue 6, Page 3676-3688, April 2026.
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

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

Trace ideals for Fourier integral operators with non-smooth symbols II

, 2007
We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation space.
A. Boulkhemair, B. Simon, Francesco Concetti, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, J. Bergh, J. Sjöstrand, J. Toft, J. Toft, Joachim Toft, K. Asada, K. Gröchenig, M. Ruzhansky, M. Ruzhansky, M. Sugimoto, N. Teofanov, S. Pilipović, W. Baoxiang   +21 more
core   +2 more sources

Discrepancy of arithmetic progressions in boxes and convex bodies

Mathematika, Volume 72, Issue 2, April 2026.
Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
wiley   +1 more source

Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators

Nonlinear Analysis
The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +2 more
doaj   +1 more source

Counting problems for orthogonal sets and sublattices in function fields

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let K=Fq((x−1))$\mathcal {K}=\mathbb {F}_q((x^{-1}))$. Analogous to orthogonality in the Euclidean space Rn$\mathbb {R}^n$, there exists a well‐studied notion of ultrametric orthogonality in Kn$\mathcal {K}^n$. In this paper, we extend the work of [4] on counting problems related to orthogonality in Kn$\mathcal {K}^n$.
Noy Soffer Aranov, Angelot Behajaina
wiley   +1 more source

Novel notions of symmetric Hahn calculus and related inequalities

Journal of Inequalities and Applications
In this manuscript, we demonstrate a graphical comparison analysis of the classical, quantum, and symmetric quantum derivatives for any continuous function, evaluated at z = 1 $\mathfrak{z}=1$ and q = 0.5 $\mathtt{q}=0.5$ .
Saad Ihsan Butt, Muhammad Nasim Aftab, Asfand Fahad, Yuanheng Wang, Bandar Bin Mohsin   +4 more
doaj   +1 more source