Results 61 to 70 of about 18,466 (195)

Definition and Computation of Tensor‐Based Generalized Function Composition

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley   +1 more source

Inequalities for the generalized trigonometric functions with respect to weighted power mean

Demonstratio Mathematica
The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional pp-Laplacian. In this study, the authors investigate some weighted power mean inequalities for the pp-generalized trigonometric functions ...
Zhong Genhong, Ma Xiaoyan
doaj   +1 more source

Charging a quantum battery from the Bloch Sphere

Annalen der Physik, Volume 538, Issue 1, January 2026.
This study uncovers the origin of the ergotropy stockpiled during the charging of a quantum battery, as well as the genesis of the battery capacity. It is found that both coherences and population inversion can meaningfully contribute, and the balance between these two mechanisms is intimately related to the initial state of the charger as well as the ...
Charles Andrew Downing, Muhammad Shoufie Ukhtary   +1 more
wiley   +1 more source

Voltage Stability Assessment Based on Modified Line Voltage Stability Index in the Presence of Renewable Energy Integration and Credible Contingencies

Engineering Reports, Volume 8, Issue 1, January 2026.
A modified line voltage stability index (MLVSI) is proposed to address limitations in the existing indices. The MLVSI is evaluated against Lmn, MVSI, and NCPI under varying load levels, renewable energy penetration, and contingency scenarios. It considers line resistance, power flow direction, and high‐loading events to identify critical lines and ...
Yalew Gebru Werkie, George Nyauma Nyakoe, Cyrus Wabuge Wekesa   +2 more
wiley   +1 more source

Inequalities for trigonometric sums

The Journal of Analysis
We present several new inequalities for trigonometric sums. Among others, we show that the inequality $$ \sum_{k=1}^n (n-k+1)(n-k+2)k\sin(kx) > \frac{2}{9} \sin(x) \bigl( 1+2\cos(x) \bigr)^2 $$ holds for all $n\geq 1$ and $x\in (0, 2π/3)$. The constant factor $2/9$ is sharp.
Alzer, Horst, Kwong, Man Kam
openaire   +2 more sources

On the Stability Barrier of Hermite Type Discretizations of Advection Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 1, January 2026.
ABSTRACT We establish a stability barrier for a class of high‐order Hermite‐type discretization of 1D advection equations underlying the hybrid‐variable (HV) and active flux (AF) methods. These methods approximate both cell averages and nodal solutions and evolve them in time simultaneously.
Xianyi Zeng
wiley   +1 more source

On Some Cauchy Type Mean-Value Theorems with Applications

Communications in Advanced Mathematical Sciences
Some Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj   +1 more source

Alexseev–Gröbner Formula and Asymptotic Phase‐Locking of Kuramoto Ensembles With Inertia and Frustration

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We study asymptotic dynamics of Kuramoto oscillators with inertia and frustration using the classical perturbation theory of ordinary differential equation systems. Frustration also known as the phase‐lag poses challenges for the mathematical analysis of asymptotic dynamics due to the breakdown of total phase conservation and the gradient ...
Hangjun Cho, Jiu‐Gang Dong, Seung‐Yeal Ha   +2 more
wiley   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

Novel Multivariate Integral Operators Incorporating Trigonometric Transformations

Pan-American Journal of Mathematics
The creation of new nonlinear multivariate integral operators is motivated by the need for mathematical tools that can handle the complex interdependencies that naturally arise in contemporary applications.
Christophe Chesneau
doaj   +1 more source