Results 61 to 70 of about 343,821 (333)

On generalized strongly modified h-convex functions [PDF]

Journal of Inequalities and Applications, 2020
AbstractWe derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Taiyin Zhao, Muhammad Shoaib Saleem, Waqas Nazeer, Imran Bashir, Ijaz Hussain   +4 more
openaire   +3 more sources

Atomically Revealing Bulk Point Defect Dynamics in Hydrogen‐Driven γ‐Fe2O3 → Fe3O4 → FeO Transformation

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, Dongxiang Wu, Wenhui Zhu, Xiaobo Chen, Zhikang Zhou, Zhilu Liang, Shuonan Ye, Meng Li, Xiao Tong, Kim Kisslinger, Sooyeon Hwang, Dmitri Zakharov, Renu Sharma, Judith C. Yang, Guangwen Zhou   +14 more
wiley   +1 more source

Generalized Convex Functions on Fractal Sets and Two Related Inequalities

, 2014
We introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen’s inequality and generalized Hermite-Hadamard's ...
Huixia Mo, Xin Sui, Dongyan Yu
semanticscholar   +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, Ariane V. Mader, Willem L. Noorduin   +2 more
wiley   +1 more source

Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators

Journal of Mathematics, 2021
Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions.
Changyue Chen, Muhammad Shoaib Sallem, Muhammad Sajid Zahoor   +2 more
doaj   +1 more source

Generalized fractional integral inequalities of Hermite–Hadamard type for harmonically convex functions

Advances in Differential Equations, 2020
In this paper, we establish inequalities of Hermite–Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained results (İşcan in Hacet. J. Math. Stat.
Dafang Zhao, M. Ali, A. Kashuri, H. Budak   +3 more
semanticscholar   +1 more source

Starlikeness and Convexity of Generalized Struve Functions [PDF]

Abstract and Applied Analysis, 2013
We give sufficient conditions for the parameters of the normalized form of the generalized Struve functions to be convex and starlike in the open unit disk.
Nihat Yagmur, Halit Orhan
openaire   +5 more sources

Universal Electronic‐Structure Relationship Governing Intrinsic Magnetic Properties in Permanent Magnets

Advanced Functional Materials, EarlyView.
Permanent magnets derive their extraordinary strength from deep, universal electronic‐structure principles that control magnetization, anisotropy, and intrinsic performance. This work uncovers those governing rules, examines modern modeling and AI‐driven discovery methods, identifies critical bottlenecks, and reveals electronic fingerprints shared ...
Prashant Singh
wiley   +1 more source

Generalized Hadamard Fractional Integral Inequalities for Strongly s , m -Convex Functions [PDF]

, 2021
Chao Miao, Ghulam Farid, Hafsa Yasmeen, Yanhua Bian   +3 more
openalex   +1 more source

Quantum Trapezium-Type Inequalities Using Generalized ϕ-Convex Functions

Axioms, 2020
In this work, a study is conducted on the Hermite–Hadamard inequality using a class of generalized convex functions that involves a generalized and parametrized class of special functions within the framework of quantum calculation.
Miguel J. Vivas-Cortez, A. Kashuri, Rozana Liko, J. E. Hernández   +3 more
semanticscholar   +1 more source