Results 21 to 30 of about 242 (193)

On the modified beta approximating operators of first kind

Journal of Numerical Analysis and Approximation Theory, 2004
We define a general linear operator from which we obtain as special case the modified beta first kind operator\[(B_{p,q}f)(x)={B(p,q)}\int_0^1 t^{p-1}(1-t)^{q-1}f\left({B(p,q)}{B(p+a,q)}t^a x\right){\rm d}t.\]We consider here only the cases \(a=1\) and \
Vasile Miheşan
doaj   +2 more sources

Nanodiamond Sensing in Dynamic Environments With Fast‐Tracking Through Four‐Point Positioning

Advanced Functional Materials, EarlyView.
A four‐point positioning tracking (4PPT) platform enables fast 3D feedback translational tracking of fluorescent nanodiamonds while simultaneously recording ODMR spectra. By integrating real‐time translational tracking with quantum sensing, mobile nanodiamonds are used for in‐situ nanothermometry, nanorheometry, and 6D translation–rotation tracking in ...
Guoli Zhu, Ming‐Zhong Ai, Zhi‐Yu Zhao, Weng‐Hang Leong, Shi‐Ning Chen, Xi Liu, Jing‐Wei Fan, Xi Feng, Ren‐Bao Liu, Yue Cui, Quan Li   +10 more
wiley   +1 more source

Rational Tuning of Hygroscopic Oscillation of Stacked Nanoflake Assemblies for Continuous Ambient Energy Harvesting

Advanced Materials, EarlyView.
Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang, Jimin Fu, Gesa Zhang, Zhihua Liang, Boxun Zhang, Haimin Yao   +5 more
wiley   +1 more source

Bounds for novel extended beta and hypergeometric functions and related results

Journal of Inequalities and Applications
We introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it.
Rakesh K. Parmar, Tibor K. Pogány
doaj   +1 more source

On the modified beta approximating operators of second kind

Journal of Numerical Analysis and Approximation Theory, 2005
We shall define a general linear operator from which we obtain as particular case the modified beta second kind operator\[(T_{p,q}f)(x)=\frac{1}{B(p,q)}\int_0^\infty\tfrac{u^{p-1}}{(1+u)^{p+q}}f\left(\frac{B(p,q)}{B(p+a,q-a)}u^ax\right){\rm d}u.\] We ...
Vasile Miheşan
doaj   +2 more sources

Testing and Simulation of Multilayer Polyvinylidene Fluoride‐Based Piezoelectric Energy Harvester Devices

Advanced Materials Technologies, EarlyView.
The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin, Silvia Monchetti, Paolo Emilio Puddu, Luciano Teresi, Antonio DeSimone, Roberto Brighenti   +5 more
wiley   +1 more source

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

Advanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics

Advanced Robotics Research, EarlyView.
This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett, Maxwell Hammond, Niloufar Seyfi, Amirreza Fahim Golestaneh, Venanzio Cichella, Caterina Lamuta   +5 more
wiley   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

On Extended Beta Function and Related Inequalities

Mathematics
In this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function.
Rakesh K. Parmar, Tibor K. Pogány, Ljiljana Teofanov   +2 more
doaj   +1 more source