Results 51 to 60 of about 2,183 (247)

Geometric Nature of the Turánian of Modified Bessel Function of the First Kind

Axioms
This work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar, Dimiter Prodanov, Anish Kumar, Sourav Das   +3 more
doaj   +1 more source

Peierls–Bogolyubov’s Inequality for Deformed Exponentials

Entropy, 2017
We study the convexity or concavity of certain trace functions for the deformed logarithmic and exponential functions, and in this way obtain new trace inequalities for deformed exponentials that may be considered as generalizations of Peierls–Bogolyubov’
Frank Hansen, Jin Liang, Guanghua Shi
doaj   +1 more source

The law of iterated logarithm for the estimations of diffusion-type processes

Advances in Difference Equations, 2020
This paper mainly discusses the asymptotic behaviours on the lasso-type estimators for diffusion-type processes with a small noise. By constructing the objective function on the estimation, in view of convexity argument, it is proved that the estimator ...
Mingzhi Mao, Gang Huang
doaj   +1 more source

Surface Energy Modulated Self‐Assembly of Percolative Gallium Nanodroplet Films for Stretchable Electronics

Advanced Electronic Materials, EarlyView.
Surface‐energy guided self‐assembly of liquid metals enables the transformation of liquid metal micro/nanodroplets into continuous perocolative films on elastomeric substrates. By tailoring interfacial energetics and wetting behavior, uniform, conductive, and stretchable films are achieved, offering scalable pathways for high‐performance soft ...
Alwar Samy Ramasamy, Gayatri Subhalaxmi, Sneha Banerjee, Mark Vailshery, Renu Raman Sahu, Sivakumar K.S, Ajisha Chathyattu, Tapajyoti Das Gupta   +7 more
wiley   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Assembly of Protein‐DNA Framework Nanostructures: Structurally Defining Protein‐DNA Interfaces With Aptamer

Angewandte Chemie, EarlyView.
Rationally designed DNA multivalent aptamers direct specific protein binding to drive self‐assembly into protein‐DNA frameworks (PDFs). Structurally defined protein‐aptamer interfaces organize proteins into triangles, linear and ladderlike chains, and periodic two‐dimensional arrays, enabling precise control over orientation, connectivity, and overall ...
Zhe Zhang, Xuanyu Nan, Zhengyu Huang, Jin Jin, Cheng Tian, Lian Chen, Xiaoli Hu, Huawei He, Yuhe Renee Yang, Cheng Zhi Huang, Chengde Mao, Hua Zuo   +11 more
wiley   +2 more sources

Hermite-Hadamard type Inequalities via $p$--Harmonic Exponential type Convexity and Applications

Universal Journal of Mathematics and Applications, 2021
In this work, we introduce the idea and concept of $p$--harmonic exponential type convex functions. We elaborate on the newly introduced idea by examples and some interesting algebraic properties.
Muhammad Tariq
doaj  

Exponential convex functions with respect to \(s\)

Sahand Communications in Mathematical Analysis
Summary: In this paper, we study the concept of exponential convex functions with respect to \(s\) and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power ...
openaire   +3 more sources

Modeling the separation of water‐in‐oil emulsions in continuously fed gravity settlers using millifluidic experiments

AIChE Journal, EarlyView.
Abstract Emulsion separation remains a persistent challenge in chemical and process industries due to the metastable nature of dispersed droplets. In gravity separators, the overall separation rate is governed by the formation of a densely packed zone (DPZ) of deforming and coalescing droplets that mediates between the dispersed and continuous phases ...
Andrei Zlobin, José Esteban Andino‐Enriquez, Thomas Gouëzec, Maurice Bourrel, Enric Santanach‐Carreras, Nicolas Passade‐Boupat, Laurence Talini, François Lequeux, Pascal Panizza   +8 more
wiley   +1 more source

Exponential Inequalities for Positive Linear Mappings

Journal of Function Spaces, 2018
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results.
Mohammad Sababheh, Hamid Reza Moradi, Shigeru Furuichi   +2 more
doaj   +1 more source