Results 41 to 50 of about 497,650 (327)

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 \
Hyers, D. H., Ulam, S. M.
openaire   +2 more sources

Scoliosis Surgery in a Patient With Advanced Friedreich's Ataxia—It Is Not Too Late

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Friedreich's ataxia is a multisystem disorder with scoliosis being the most common non‐neurological manifestation. While scoliosis surgery is typically performed in adolescent, ambulatory patients, few data exist on surgical outcomes in patients with advanced disease.
Kathrin Reetz, Stella A. Lischewski, Jörg B. Schulz, Maximilian Praster, Miguel Pishnamaz, on behalf of the FACROSS study group, Imis Dogan, Sandro Romanzetti, Ravi Dadsena, Kerstin Konrad, Thomas Clavel, Vera Jankowski, Joachim Jankowski, Oliver Pabst, Nikolaus Marx, Julia Moellmann, Malte Jacobsen, Katharina Marx‐Schütt, Juergen Dukart, Simon Eickhoff, Ralf‐Dieter Hilgers   +20 more
wiley   +1 more source

Insights Into the Antigenic Repertoire of Unclassified Synaptic Antibodies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective We sought to characterize the sixth most common finding in our neuroimmunological laboratory practice (tissue assay‐observed unclassified neural antibodies [UNAs]), combining protein microarray and phage immunoprecipitation sequencing (PhIP‐Seq). Methods Patient specimens (258; 133 serums; 125 CSF) meeting UNA criteria were profiled;
Michael Gilligan, John R. Mills, Paulina Vargas, Naveen K. Paramasivan, Connie E. Lesnick, Eati Basal, Surendra Dasari, James P. Fryer, Shannon R. Hinson, Joseph Laporta, Amy Espinal, Dennis Fitzgerald, Carolina Garcia, Anna E. Morenkova, Paola Pergami, Anna Shah, Andrew Knight, Reghann LaFrance Corey, Vanda A. Lennon, Anastasia Zekeridou, Sean J. Pittock, Divyanshu Dubey, Andrew McKeon   +22 more
wiley   +1 more source

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)
Hallenbeck, D. J., Ruscheweyh, Stephan
openaire   +2 more sources

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

Approximation of Convex Functions

Real Analysis Exchange, 2004
It is known [\textit{M. Ghomi}, Proc. Am. Math. Soc. 130, No.~8, 2255--2259 (2002; Zbl 0999.26008)] that every convex function on an open interval \(I\) can be uniformly approximated by convex \(C^\infty\)-functions on every compact subinterval \([a,b]\) of \(I\). Ghomi's approach requires the knowledge of Lebesgue integral and convolutions. The aim of
openaire   +2 more sources

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Valuations on Convex Functions [PDF]

International Mathematics Research Notices, 2017
All continuous, SL$(n)$ and translation invariant valuations on the space of convex functions on ${\mathbb R}^n$ are completely classified.
Andrea Colesanti, Monika Ludwig, Fabian Mussning   +2 more
openaire   +3 more sources

Fabrication‐Directed Entanglement for Designing Chiral and Anisotropic Metamaterial Foams

Advanced Engineering Materials, EarlyView.
This work introduces fabrication‐directed entanglement (FDE), combining viscous thread printing and topology optimization to program entangled foams with spatially patterned stiffness. By tuning coil density, FDE enables anisotropy, programmable Poisson's ratio, and chirality in foams.
Daniel Revier, Brett Emery, Jacob Miske, Jeffrey Lipton   +3 more
wiley   +1 more source

Some concepts of generalized convex functions (I)

Journal of Numerical Analysis and Approximation Theory, 2002
An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
doaj   +2 more sources