We introduce a property of Banach spaces, called uniform convex-transitivity, which falls between almost transitivity and convex transitivity. We will provide examples of uniformly convex-transitive ...

Convex optimization Abstract: This chapter helps the students to identify convex functions, convex sets, and convex optimization problems. It presents comparison between a convex and a non‐convex ...

Universal OCO Simulations A base implementation of "A simple yet Universal Strategy for Online Convex Optimization" (Zhang et. al. 2022) with some simple examples.

About A Julia/C++ implementation and numerical examples of adjoint subgradient evaluation for convex ODE relaxations, as described by Zhang and Khan (2024).

The main result proved in this paper is that the ratio of the square of a nonnegative convex function to a strictly positive concave function is convex over a convex domain. Some particular cases of ...

ABSTRACT: The aim of this paper is to prove that the average function of a trigonometrically ρ-convex function is trigonometrically ρ-convex. Furthermore, we show the existence of support curves ...

Jensen gave a lower bound to Eρ (T), where ρ is a convex function of the random vector T. Madansky has obtained an upper bound via the theory of moment spaces of multivariate distributions. In ...

Inequalities and Integral Operators in Convex Analysis Publication Trend The graph below shows the total number of publications each year in Inequalities and Integral Operators in Convex Analysis.