Results 21 to 30 of about 201,642 (275)
On some fractional integral inequalities for generalized strongly modified $h$-convex functions
AIMS Mathematics, 2020 Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties.
Peiyu Yan +4 more
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AIMS Mathematics, 2022 In this paper, we introduce the class of generalized strongly convex functions using Raina's function. We derive two new general auxiliary results involving first and second order (p,q)-differentiable functions and Raina's function.
Miguel Vivas-Cortez +4 more
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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Rationally Designed Carbon Nanomaterials for Electrically Driven Solid‐State Hydrogen Storage
Advanced Functional Materials, EarlyView.A bottom‐up design principle integrating atomic‐level and nanoscale structural engineering is developed to guide the rational design of electrically tunable, solid‐state hydrogen storage materials that enable non‐dissociative chemisorption under applied electric fields.
Yong Gao +30 more
wiley +1 more source
Integral Inequalities via Generalized Geometrically r-Convex Functions
International Journal of Analysis and Applications, 2018 In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been ...
Muhammad Aslam Noor +2 more
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A note on generalized convex functions
Journal of Inequalities and Applications, 2019 In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah +2 more
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Advances in Difference Equations, 2020 Fractal analysis is one of interesting research areas of computer science and engineering, which depicts a precise description of phenomena in modeling. Visual beauty and self-similarity has made it an attractive field of research.
Thabet Abdeljawad +3 more
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A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings [PDF]
, 2013 In the early 1960's, Moreau and Rockafellar introduced a concept of called \emph{subgradient} for convex functions, initiating the developments of theoretical and applied convex analysis. The needs of going beyond convexity motivated the pioneer works by
Boris Mordukhovich +4 more
core
Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime
Advanced Functional Materials, EarlyView.A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong +2 more
wiley +1 more source
Enzyme‐Regulated Extended Swelling of Hydrogels for Dehiscence‐Less Tissue Expansions
Advanced Functional Materials, EarlyView.An interpenetrating hydrogel network with swelling under regulation by enzymatic degradation (INSURED) is fabricated to avoid dehiscence. INSURED remains structurally intact post‐implantation, while HYAL injection enables control over the onset and rate of swelling.
Byung Ik Park +10 more
wiley +1 more source