Generalized Beta-Convex Functions and Integral Inequalities
International Journal of Analysis and Applications, 2017 In this paper, we introduce the concept of generalized beta-convex functions. This new class of convex functions includes several new and previous known classes of convex functions as special cases.
Bandar Bin-Mohsin +5 more
doaj +2 more sources
q-Invariant Functions for Some Generalizations of the Ornstein-Uhlenbeck Semigroup [PDF]
, 2008 We show that the multiplication operator associated to a fractional power of a Gamma random variable, with parameter q>0, maps the convex cone of the 1-invariant functions for a self-similar semigroup into the convex cone of the q-invariant functions for
Patie, P.
core +1 more source
Generalized Forward-Backward Splitting with Penalization for Monotone Inclusion Problems
, 2014 We introduce a generalized forward-backward splitting method with penalty term for solving monotone inclusion problems involving the sum of a finite number of maximally monotone operators and the normal cone to the nonempty set of zeros of another ...
Andrea Porras-Alfaro (3275619) +4 more
core +3 more sources
(q1,q2)-Trapezium-Like Inequalities Involving Twice Differentiable Generalized m-Convex Functions and Applications [PDF]
, 2022 Muhammad Uzair Awan +5 more
openalex +1 more source
Design and Applications of Multi‐Frequency Programmable Metamaterials for Adaptive Stealth
Advanced Functional Materials, EarlyView.This article provides a comprehensive overview of metamaterials, including their fundamental principles, properties, synthesis techniques, and applications in stealth, as well as their challenges and future prospects. It covers topics that are more advanced than those typically discussed in existing review articles, while still being closely connected ...
Jonathan Tersur Orasugh +4 more
wiley +1 more source
INEQUALITIES VIA GENERALIZED h-CONVEX FUNCTIONS
Проблемы анализа, 2018 In the paper, we establish some new Hermite-Hadamard-Fej´er type inequalities via generalized h-convex functions, Toader-like convex functions and their variant forms. Several special cases are also discussed. Results proved in this paper can be viewed
M. A. Noor, K. I. Noor, F. Safdar
doaj +1 more source
Constraint Qualifications for Vector Optimization Problems in Real Topological Spaces
Axioms, 2023 In this paper, we introduce a series of definitions of generalized affine functions for vector-valued functions by use of “linear set”. We prove that our generalized affine functions have some similar properties to generalized convex functions.
Renying Zeng
doaj +1 more source
Proximal Stochastic Newton-type Gradient Descent Methods for Minimizing Regularized Finite Sums [PDF]
, 2014 In this work, we generalized and unified recent two completely different works of Jascha \cite{sohl2014fast} and Lee \cite{lee2012proximal} respectively into one by proposing the \textbf{prox}imal s\textbf{to}chastic \textbf{N}ewton-type gradient ...
Shi, Ziqiang
core
Advanced Functional Materials, EarlyView.In situ TEM uncovers the atomic‐scale mechanisms underlying hydrogen‐driven γ‐Fe2O3→Fe3O4→FeO reduction. In γ‐Fe2O3, oxygen vacancies cluster around intrinsic Fe vacancies, leading to nanopore formation, whereas in Fe3O4, vacancy aggregation is suppressed, preserving a dense structure.
Yupeng Wu +14 more
wiley +1 more source
Colloidal Crack Sintering Lithography for Light‐Induced Patterning of Particle Assemblies
Advanced Functional Materials, EarlyView.Colloidal crack sintering lithography (CCSL) is a microfabrication technique that uses light‐induced photothermal heating to trigger sintering and controlled cracking in polymer colloidal assemblies. Local structural changes generate microchannels and patterns, enabling direct writing of diverse topographic motifs.
Marius Schoettle +2 more
wiley +1 more source