On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions

A Nosheen, KA Khan, MH Bukhari, MK Kahungu… - Plos one, 2024 - journals.plos.org
The paper introduces a new class of convexity named strongly modified (p, h)-convex
functions and establishes various properties of these functions, providing a comprehensive …

[HTML][HTML] On Riemann–Liouville Integral via Strongly Modified (h,m)-Convex Functions

ANA Koam, A Nosheen, KA Khan, MH Bukhari… - Fractal and …, 2024 - mdpi.com
The generalization of strongly convex and strongly m-convex functions is presented in this
paper. We began by proving the properties of a strongly modified (h, m)-convex function …

Membership Queries for Convex Floating Bodies via Hilbert Geometry

P Gupta, A Narayanan - arxiv preprint arxiv:2411.01482, 2024 - arxiv.org
We propose the convex floating body membership problem, which consists of efficiently
determining when a query point $ a\in\mathbb {R}^ d $ belongs to the so-called $\varepsilon …