Results 31 to 40 of about 615,016 (327)

New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

Journal of Mathematics, 2022
In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon, Ghulam Farid, Ammara Nosheen, Muhammad Yussouf, Ebenezer Bonyah   +4 more
doaj   +1 more source

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

Convexity and logical analysis of data

Theoretical Computer Science, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekin O., Hammer P.L., Kogan, A.
openaire   +5 more sources

Cardinality-constrained structured data-fitting problems

Open Journal of Mathematical Optimization
A memory-efficient solution framework is proposed for the cardinality-constrained structured data-fitting problem. Dual-based atom-identification rules reveal the structure of the optimal primal solution from near-optimal dual solutions, which allows for
Fan, Zhenan, Fang, Huang, Friedlander, Michael P.   +2 more
doaj   +1 more source

Dual ${M}$ -Convex Variable Subsets Family and Extremum Analysis for the OPF Problem

IEEE Access, 2018
The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
doaj   +1 more source

An introduction to non-smooth convex analysis via multiplicative derivative

Journal of Taibah University for Science, 2019
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
doaj   +1 more source

Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces

, 2008
Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini, Chapman, Chapman, Chigogidze, Chigogidze, Dranishnikov, Dušan Repovš, Lidia Bazylevych, Michael, Michael Zarichnyi, Montejano, Nadler, Nykyforchyn, Pinsker, Shchepin, Shchepin, Toruńczyk, Zarichnyi   +17 more
core   +1 more source

Continuous essential selections and integral functionals

, 2013
Given a strictly positive measure, we characterize inner semicontinuous solid convex-valued mappings for which continuous functions which are selections almost everywhere are selections.
Perkkiö, Ari-Pekka
core   +1 more source

New fuzzy-interval inequalities in fuzzy-interval fractional calculus by means of fuzzy order relation

AIMS Mathematics, 2021
It is well-known that interval analysis provides tools to deal with data uncertainty. In general, interval analysis is typically used to deal with the models whose data are composed of inaccuracies that may occur from certain kinds of measurements.
Muhammad Bilal Khan, Pshtiwan Othman Mohammed, Muhammad Aslam Noor, Abdullah M. Alsharif, Khalida Inayat Noor   +4 more
doaj   +1 more source

Data‐Driven Distributed Safe Control Design for Multi‐Agent Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents a data‐driven control barrier function (CBF) technique for ensuring safe control of multi‐agent systems (MASs) with uncertain linear dynamics. A data‐driven quadratic programming (QP) optimization is first developed for CBF‐based safe control of single‐agent systems using a nonlinear controller. This approach is then extended to the
Marjan Khaledi, Bahare Kiumarsi
wiley   +1 more source