Results 81 to 90 of about 1,126,227 (356)

Some majorization integral inequalities for functions defined on rectangles

Journal of Inequalities and Applications, 2018
In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles.
Shanhe Wu, Muhammad Adil Khan, Abdul Basir, Reza Saadati   +3 more
doaj   +1 more source

Approximately convex functions [PDF]

Proceedings of the American Mathematical Society, 1952
So far we have discussed the stability of various functional equations. In the present section, we consider the stability of a well-known functional inequality, namely the inequality defining convex functions: $$f\left( {\lambda x + \left( {1 - \lambda } \right)y} \right) \leqslant \lambda f\left( x \right) + \left( {1 - \lambda } \right)f\left( y \
Stanislaw M. Ulam, Donald H. Hyers
openaire   +2 more sources

On approximately convex functions [PDF]

Proceedings of the American Mathematical Society, 1993
The Bernstein-Doetsch theorem on midconvex functions is extended to approximately midconvex functions and to approximately Wright convex functions.
Kazimierz Nikodem, C. T. Ng
openaire   +2 more sources

StahlDigital: Ontology‐Based Workflows for the Steel Industry

Advanced Engineering Materials, EarlyView.
The strength of the steel industry is based on the mastery of microstructure–property relationships. Digital workflows contribute to this aim by making the complexity of workflows reproducible and their execution user independent. The tools and workflows developed in the project StahlDigital as part of the German MaterialDigital initiative are ...
Franz Roters, Ahmed Aslam, Yang Bai, Matthias Büschelberger, Kirill Bulert, Alexander Butz, Tilmann Hickel, Tushar Jogi, Silke Klitschke, Michael Martin, Lars‐Peter Meyer, Lukas Morand, Yoav Nahshon, Norman Radtke, Ujjal Saikia, Andreas Trondl, Alexander Wessel, Paul Zierep, Dirk Helm   +18 more
wiley   +1 more source

Dynamical significance of generalized fractional integral inequalities via convexity

AIMS Mathematics, 2021
The main goal of this paper is to develop the significance of generalized fractional integral inequalities via convex functions. We obtain the new version of fractional integral inequalities with the extended Wright generalized Bessel function acting as ...
Sabila Ali, Shahid Mubeen, Rana Safdar Ali, Gauhar Rahman, Ahmed Morsy, Kottakkaran Sooppy Nisar , Sunil Dutt Purohit, M. Zakarya   +7 more
doaj   +1 more source

Successive Convex Approximation Algorithms for Sparse Signal Estimation with Nonconvex Regularizations

, 2018
In this paper, we propose a successive convex approximation framework for sparse optimization where the nonsmooth regularization function in the objective function is nonconvex and it can be written as the difference of two convex functions. The proposed
Chatzinotas, Symeon, Ottersten, Björn, Pesavento, Marius, Yang, Yang   +3 more
core   +1 more source

On Basic Operations Related to Network Induction of Discrete Convex Functions [PDF]

arXiv, 2020
Discrete convex functions are used in many areas, including operations research, discrete-event systems, game theory, and economics. The objective of this paper is to investigate basic operations such as direct sum, splitting, and aggregation that are related to network induction of discrete convex functions as well as discrete convex sets.
arxiv  

Subordination by convex functions [PDF]

Proceedings of the American Mathematical Society, 1975
The following theorem is proven: Let F ( z ) F(z) be convex and univalent in Δ = { z : | z | > 1 } , F ( 0 ) = 1 \Delta = \{ z:|z| > 1\} ,F(0)
Stephan Ruscheweyh, D. J. Hallenbeck
openaire   +1 more source

Advancing Digital Transformation in Material Science: The Role of Workflows Within the MaterialDigital Initiative

Advanced Engineering Materials, EarlyView.
The MaterialDigital initiative drives the digital transformation of material science by promoting findable, accessible, interoperable, and reusable principles and enhancing data interoperability. This article explores the role of scientific workflows, highlights challenges in their adoption, and introduces the Workflow Store as a key tool for sharing ...
Simon Bekemeier, Celso Ricardo Caldeira Rêgo, Han Lin Mai, Ujjal Saikia, Osamu Waseda, Markus Apel, Felix Arendt, Alexander Aschemann, Bernd Bayerlein, Robert Courant, Gordian Dziwis, Florian Fuchs, Ulrich Giese, Kurt Junghanns, Mohamed Kamal, Lukas Koschmieder, Sebastian Leineweber, Marc Luger, Marco Lukas, Jürgen Maas, Jana Mertens, Björn Mieller, Ludger Overmeyer, Norbert Pirch, Jan Reimann, Sebastian Schröck, Philipp Schulze, Jörg Schuster, Alexander Seidel, Oleg Shchyglo, Marek Sierka, Frank Silze, Simon Stier, Marvin Tegeler, Jörg F. Unger, Matthias Weber, Tilmann Hickel, Jörg Schaarschmidt   +37 more
wiley   +1 more source

A study of Hermite-Hadamard inequalities via Caputo-Fabrizio fractional integral operators using strongly ( s , m ) $(s, m)$ -convex functions in the second sense

Journal of Inequalities and Applications
New ways for comparing and bounding strongly ( s , m ) $(s,m)$ -convex functions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored.
Jie Li, Yong Lin, Serap Özcan, Muhammad Shoaib Saleem, Ahsan Fareed Shah   +4 more
doaj   +1 more source