Results 91 to 100 of about 11,297,589 (365)

Matrix Hermite-Hadamard type inequalities [PDF]

open access: yes, 2013
We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
core  

Approximately convex functions [PDF]

open access: yesProceedings 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]

open access: yesProceedings 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

Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals

open access: yesIranian Journal of Science and Technology, Transactions A: Science, 2017
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions in fractional
M. Kunt, I. Işcan
semanticscholar   +1 more source

StahlDigital: Ontology‐Based Workflows for the Steel Industry

open access: yesAdvanced 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   +18 more
wiley   +1 more source

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

open access: yesarXiv, 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  

SOS-convex Semi-algebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization [PDF]

open access: yes, 1970
In this paper, we introduce a new class of nonsmooth convex functions called SOS-convex semialgebraic functions extending the recently proposed notion of SOS-convex polynomials.
Chieu, N. H.   +4 more
core   +3 more sources

Subordination by convex functions [PDF]

open access: yesProceedings 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

open access: yesAdvanced 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   +37 more
wiley   +1 more source

Consolidate Overview of Ribonucleic Acid Molecular Dynamics: From Molecular Movements to Material Innovations

open access: yesAdvanced Engineering Materials, EarlyView.
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley   +1 more source

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