Results 41 to 50 of about 89,200 (262)

Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets

Pan-American Journal of Mathematics
Fractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improving convex inequalities and their generalisations.
Peter Olamide Olanipekun
doaj   +1 more source

Hyperbolic Polynomials and Convex Analysis [PDF]

Canadian Journal of Mathematics, 2001
AbstractA homogeneous real polynomialpishyperbolicwith respect to a given vector d if the univariate polynomial t ⟼ p(x − td) has all real roots for all vectorsx. Motivated by partial differential equations, Gårding proved in 1951 that the largest such root is a convex function ofx, and showed various ways of constructing new hyperbolic polynomials. We
Bauschke, Heinz H., Güler, Osman, Lewis, Adrian S., Sendov, Hristo S.   +3 more
openaire   +1 more source

Spatiotemporal Plasma–Mediated Laser Fabrication of Ultrahigh‐Aspect‐Ratio Nanochannel Arrays for Vertical Perovskite Nanowire Semiconductor Devices

Advanced Functional Materials, EarlyView.
A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang, Lingfeng Wang, Feng Liu, Gary J. Cheng   +3 more
wiley   +1 more source

Exploring the (h, m)-Convexity for Operators in Hilbert Space

Cauchy: Jurnal Matematika Murni dan Aplikasi
This study examines the concept of operator (h, m)-convexity within the context of Hilbert spaces, aiming to advance the understanding of operator convex functions.
Ekadion Maulana, Corina Karim, Mila Kurniawaty   +2 more
doaj   +1 more source

A Geometric Mean of Parameterized Arithmetic and Harmonic Means of Convex Functions

Abstract and Applied Analysis, 2012
The notion of the geometric mean of two positive reals is extended by Ando (1978) to the case of positive semidefinite matrices A and B. Moreover, an interesting generalization of the geometric mean A # B of A and B to convex functions was introduced by ...
Sangho Kum, Yongdo Lim
doaj   +1 more source

Viscoelasticity‐Induced Controllable Periodic Meso‐Textures of Liquid Crystal Polymers in Additive Manufacturing

Advanced Functional Materials, EarlyView.
Viscoelasticity‐driven instabilities are harnessed to create tunable, periodic textures in 3D‐printed liquid crystalline polymers. This study illustrates how processing parameters control these spontaneous meso‐scale patterns. These unique structural architectures unlock new possibilities for functional devices, ranging from photonic components to ...
Miaomiao Zou, Jiongyi Yan, Dick F. Firdaus, Amy Jin, Jiaxuan Li, Shushan Wang, Ran Chen, Xudong Tao, Zehao Ji, Yi Liu, Zichen Wang, Christos Margadji, Mark Kotter, J. Axel Zeitler, George G. Malliaras, Ronan Daly, Andrew Gleadall, Sebastian W. Pattinson   +17 more
wiley   +1 more source

Broadband, Flexible, Skin‐Compatible Carbon Dots/Graphene Photodetectors for Wearable Applications

Advanced Functional Materials, EarlyView.
Broadband, flexible photodetectors integrating nitrogen‐rich carbon dots with single‐layer graphene on plastic substrates are demonstrated. A biocompatible chitosan–glycerol electrolyte enables efficient low‐voltage gating and on‐skin operation. The devices exhibit ultraviolet‐to‐near‐infrared response, mechanical robustness under bending, and verified
Nouha Loudhaief, Petr Rozhin, Ilaria Bertuol, Ali Raza, Leonardo Viti, Subhankar Roy, Enrico Cavarzerani, Luca Sbuelz, Matteo Brilli, Andrea Serinolli, Jacopo Nicoletti, Riccardo Piccoli, Sebastián Castilla, Simone Dal Zilio, Enrique Rodríguez‐Castellón, Miriam Serena Vitiello, Maurizio Selva, Flavio Rizzolio, Alvise Perosa, Giovanni Antonio Salvatore, Domenico De Fazio   +20 more
wiley   +1 more source

Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications

Moroccan Journal of Pure and Applied Analysis, 2016
In this paper, a new weighted identity for functions defined on a rectangle from the plane is established. By using the obtained identity and analysis, some new weighted integral inequalities for the classes of co-ordinated convex, co-ordinated wright ...
Latif M. A., Dragomir S. S., Momoniat E.
doaj   +1 more source

Membrane Wrapping for High Capacity and Rapidly Switchable Adhesives

Advanced Functional Materials, EarlyView.
A membrane‐wrapping mechanism enables high‐capacity, rapidly switchable adhesion by coupling suction, friction, and adhesion. Broadband performance is achieved in dry and underwater conditions, allowing fast, reversible manipulation of objects of diverse sizes and shapes, from delicate eggs and berries to flat, complex, or heavy objects. These outcomes
Yeunhee Kim, Camryn A. Mills, Michael D. Bartlett   +2 more
wiley   +1 more source

On duality principles and related convex dual formulations suitable for local and global non-convex variational optimization

Nonlinear Engineering, 2023
This article develops duality principles, a related convex dual formulation and primal dual formulations suitable for the local and global optimization of non convex primal formulations for a large class of models in physics and engineering.
Botelho Fabio Silva
doaj   +1 more source