Results 51 to 60 of about 2,333 (219)

The Properties of Harmonically cr-h-Convex Function and Its Applications

Mathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu, Fangfang Shi, Guoju Ye, Dafang Zhao   +3 more
doaj   +1 more source

Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

, 2018
The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir, Alsaedi, Ahmed, Kirane, Mokhtar, Torebek, Berikbol T.   +3 more
core   +1 more source

Ubiquitous Antiparallel Domains in 2D Hexagonal Boron Nitride Uncovered by Interferometric Nonlinear Optical Imaging

Advanced Materials, EarlyView.
Interferometric second‐harmonic generation (SHG) imaging reveals the ubiquitous formation of antiparallel domains in CVD‐grown 2D hexagonal boron nitride. By resolving lattice orientation and SHG phase, hidden domain structures and disorder become visible over large areas. The SHG intensity quantitatively tracks crystalline quality across growth routes,
Yeri Lee, Juseung Oh, Kyung Yeol Ma, Seung Jin Lee, Eui Young Jung, Yani Wang, Kenji Watanabe, Takashi Taniguchi, Hailin Peng, Hiroki Ago, Ki Kang Kim, Hyeon Suk Shin, Sunmin Ryu   +12 more
wiley   +1 more source

New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function

Journal of Function Spaces, 2021
In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt, Saba Yousaf, Atifa Asghar, Khuram Ali Khan, Hamid Reza Moradi   +4 more
doaj   +1 more source

Ostrowski type inequalities for harmonically s-convex functions via fractional integrals [PDF]

, 2013
In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are established ...
Iscan, Imdat
core  

Localized Temperature Monitoring in Mouse Brain during Light Delivery via a Non‐Planar Tapered Fiber‐Integrated µRTD Sensor

Advanced Materials, EarlyView.
We report a multifunctional tapered optical fiber integrating a conformal micro‐resistance temperature detector (µRTD) for local, real‐time thermometry during optical stimulation. The platform combines light‐delivery and temperature sensing within a minimally invasive footprint, enabling detection of sub‐degree cortical heating under representative ...
Antonio Balena, Marco Bianco, Barbara Spagnolo, Muhammad Fayyaz Kashif, Alberto Bramati, Massimo De Vittorio, Ferruccio Pisanello   +6 more
wiley   +1 more source

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

International Journal of Analysis and Applications, 2017
In this paper, the notion of harmonic symmetricity of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fejer type integral inequalities are presented for the class of harmonically convex ...
M. A. Latif, S. S. Dragomir, E. Momoniat
doaj   +2 more sources

On Extended Convex Functions via Incomplete Gamma Functions

Journal of Function Spaces, 2021
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. In this paper, firstly we introduce the notion of
Yan Zhao, M. Shoaib Saleem, Shahid Mehmood, Zabidin Salleh   +3 more
doaj   +1 more source

Thermodynamics of the two-component Fermi gas with unequal masses at unitarity

, 2012
We consider mass-imbalanced two-component Fermi gases for which the unequal-mass atoms interact via a zero-range model potential with a diverging s-wave scattering length $a_s$, i.e., with $1/a_s=0$.
Blume, D., Daily, K. M.
core   +1 more source

End‐to‐End Sensing Systems for Breast Cancer: From Wearables for Early Detection to Lab‐Based Diagnosis Chips

Advanced Materials Technologies, EarlyView.
This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane, Lyn I. Jones, Richard M. Martin, Helen Winter, Faezeh Arab Hassani   +4 more
wiley   +1 more source