Results 111 to 120 of about 902,467 (342)

An Optimal Double Inequality between Power-Type Heron and Seiffert Means [PDF]

Journal of Inequalities and Applications, 2010
For , the power-type Heron mean and the Seiffert mean of two positive real numbers and are defined by , ; , and , ; , , respectively. In this paper, we find the greatest value and the least value such that the double inequality holds for all with .
Ye-Fang Qiu, Yu-Ming Chu, Miao-Kun Wang
openaire   +4 more sources

Mainstream Artificial Intelligence Technologies in Contemporary Ophthalmology

Advanced Intelligent Systems, EarlyView.
This review explores the latest artificial intelligence (AI) technologies in ophthalmology, focusing on four key data types: medical imaging, electronic health records, robotic‐assisted surgery, and genomics. It examines the structural features, use cases, clinical goals, and evaluation metrics of various AI algorithms, while also introducing emerging ...
Shiqi Yin, Lei Wang, Shanjun Wu, Jiewei Jiang, Wei Qiang, Yangyang Wang, Shihong Wang, Yi Shao, Wei Chen, Zhongwen Li   +9 more
wiley   +1 more source

Generalized Entropy Power Inequalities and Monotonicity Properties of Information

, 2007
New families of Fisher information and entropy power inequalities for sums of independent random variables are presented. These inequalities relate the information in the sum of $n$ independent random variables to the information contained in sums over ...
Barron, Andrew, Madiman, Mokshay
core   +2 more sources

EndoARSS: Adapting Spatially Aware Foundation Model for Efficient Activity Recognition and Semantic Segmentation in Endoscopic Surgery

Advanced Intelligent Systems, EarlyView.
This article introduces EndoARSS, a novel multitask learning framework that combines surgical activity recognition and semantic segmentation for endoscopic surgery. Utilizing the foundation model with novel modules like task efficient shared low‐rank adapters and spatially aware multiscale attention, EndoARSS can effectively tackle challenges in ...
Guankun Wang, Rui Tang, Mengya Xu, Long Bai, Huxin Gao, Hongliang Ren   +5 more
wiley   +1 more source

Enhancing Microrobot Swarm Stability and Adaptation by Autonomous Field‐of‐View Planning

Advanced Intelligent Systems, EarlyView.
This work presents an adaptive cross‐field‐of‐view navigation strategy for microrobot swarms in large‐scale workspaces by integrating global path planning via A* and local replanning using optimized informed rapidly‐exploring random tree star . The hybrid approach ensures efficient and robust trajectory execution in dynamic environments, enhancing the ...
Zhaowen Su, Lijun Fang, Hoyeon Kim, U. Kei Cheang   +3 more
wiley   +1 more source

More results on integral inequalities for strongly generalized (ϕ,h,s) $( \phi,h,s )$-preinvex functions

Journal of Inequalities and Applications, 2019
The main goal of this research is to introduce a new form of generalized Hermite–Hadamard and Simpson type inequalities utilizing Riemann–Liouville fractional integral by a new class of preinvex functions which is known as strongly generalized (ϕ,h,s) $(
Shahid Qaisar, Jamshed Nasir, Saad Ihsan Butt, Sabir Hussain   +3 more
doaj   +1 more source

Ising models on power-law random graphs

, 2010
We study a ferromagnetic Ising model on random graphs with a power-law degree distribution and compute the thermodynamic limit of the pressure when the mean degree is finite (degree exponent $\tau>2$), for which the random graph has a tree-like structure.
A. Dembo, A. Dembo, B. Bollobás, Cristian Giardinà, D. Aldous, D.G. Kelly, L. Sanctis De, M. Leone, M. Niss, M. Niss, M.E.J. Newman, R. Albert, R. Hofstad van der, R.B. Griffiths, R.B. Griffiths, R.J. Baxter, Remco van der Hofstad, S. Bhamidi, S. Chatterjee, S.H. Strogatz, S.N. Dorogovtsev, S.N. Dorogovtsev, Sander Dommers, W. Feller   +23 more
core   +2 more sources

Topology Optimization of Exo‐Glove Poly II for Enhancing Functionality and Wearability

Advanced Intelligent Systems, EarlyView.
This study proposes a topology optimization method for Exo‐Glove Poly II to enhance functionality and wearability. By modeling its finger body as a longitudinally periodic structure, a unit cell‐level optimization—aimed at minimizing distortion and achieving user‐preferred stretchability—is established. Experimental validation shows reduced distortion,
Soomin Choi, Kyu Bum Kim, Donguk Kwon, Brian Byunghyun Kang, Kyu‐Jin Cho   +4 more
wiley   +1 more source

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
doaj   +1 more source

Some results on integral inequalities via Riemann–Liouville fractional integrals

Journal of Inequalities and Applications, 2019
In current continuation, we have incorporated the notion of s−(α,m) $s- ( {\alpha,m} ) $-convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–
Xiaoling Li, Shahid Qaisar, Jamshed Nasir, Saad Ihsan Butt, Farooq Ahmad, Mehwish Bari, Shan E Farooq   +6 more
doaj   +1 more source