Exponentially small asymptotic formulas for the length spectrum in some billiard tables [PDF]
Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth strictly convex billiard table, and all of them have the same length when the table is an ellipse or a circle.
Martín, Pau +2 more
core +3 more sources
An inventory model for deteriorating items with exponential declining demand and partial backlogging [PDF]
This study proposes an EOQ inventory mathematical model for deteriorating items with exponentially decreasing demand. In the model, the shortages are allowed and partially backordered.
Ouyang Liang-Yuh +2 more
doaj +1 more source
Exponential convexity for Jensen’s inequality for norms
In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Julije Jakšetić +2 more
doaj +1 more source
n-Exponential Convexity of Hardy-type and Boas-type functionals [PDF]
In this paper, we discuss and prove n-exponential convexity of the linear functionals obtained by taking the positive difference of Hardy-type and Boas-type inequalities. Also, we give some examples related to our main results.
Iqbal, Sajid +3 more
openaire +2 more sources
Exponential stability of discrete‐time delayed neural networks with saturated impulsive control
This paper examines the problem of the locally exponentially stability for impulsive discrete‐time delayed neural networks (IDDNNs) with actuator saturation.
Zhilong He +3 more
doaj +1 more source
Newton-Raphson Consensus for Distributed Convex Optimization [PDF]
We address the problem of distributed uncon- strained convex optimization under separability assumptions, i.e., the framework where each agent of a network is endowed with a local private multidimensional convex cost, is subject to communication ...
Cenedese, Angelo +4 more
core +1 more source
On exponentially (h1, h2)-convex functions and fractional integral inequalities related [PDF]
In this work the concept of exponentially (h1, h2)-convex function is introduced and using it, the Hermite-Hadamard inequality and some bounds for the right side of this inequality, via Raina's fractional integral operator and generalized convex ...
Vivas-Cortez Miguel +2 more
doaj
Output-Feedback Control of Nonlinear Systems using Control Contraction Metrics and Convex Optimization [PDF]
Control contraction metrics (CCMs) are a new approach to nonlinear control design based on contraction theory. The resulting design problems are expressed as pointwise linear matrix inequalities and are and well-suited to solution via convex optimization.
Manchester, Ian R. +1 more
core +2 more sources
Optimal Dynamic Procurement Policies for a Storable Commodity with L\'evy Prices and Convex Holding Costs [PDF]
In this paper we study a continuous time stochastic inventory model for a commodity traded in the spot market and whose supply purchase is affected by price and demand uncertainty.
Chiarolla, Maria B. +2 more
core +3 more sources
Jessen type functionals and exponential convexity
Summary: In this paper, we introduce the extension of Jessen functional and investigate logarithmic and exponential convexity. We also give mean value theorems of Cauchy and Lagrange type. Several families of functions are also presented related to our main results.
Naeem, Rishi, Anwar, Matloob
openaire +2 more sources

