Results 51 to 60 of about 6,546 (262)

On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates

International Journal of Analysis and Applications, 2016
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
doaj   +2 more sources

On the refinements of the Jensen-Steffensen inequality

Journal of Inequalities and Applications, 2011
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of ...
Khalid Sadia, Pečarić Josip, Franjić Iva   +2 more
doaj  

Asymmetric Electrostrain/Electrobending in Piezoelectric Ceramics: Role of Defect Dipoles or Oxygen Vacancies

Advanced Science, EarlyView.
Defect‐configurational origins of the asymmetric apparent electrostrain are revealed in different piezoelectric ceramics via atomic‐scale visualization of defect configurations. Migration of oxygen vacancies leads to the electrobending effect in N2‐sintered BaTiO3, while defect dipoles in Ba0.99TiO2.99 generate true asymmetric electrostrain without ...
Jie Wang, Geng Huangfu, Hongjie Zhang, Tiannan Yang, Zhenhua Ma, Jingsheng Chen, Yun Liu, Yiping Guo   +7 more
wiley   +1 more source

An Extension of the Mean Value Theorem

The Mathematical Intelligencer
To appear in ''The Mathematical Intelligencer''
openaire   +2 more sources

A Wireless 3D Magneto‐Mechanical Stimulation Platform Drives In Situ Chondrogenic Commitment of Endogenous MSCs

Advanced Science, EarlyView.
An intracellular magneto‐mechanical platform utilizing MSC‐targeted nanomotors is developed. After intra‐articular delivery, these nanomotors target endogenous BMSCs and are actuated within lysosomes to execute trans‐planar rotational‐bouncing motions under a rotating‐fluctuating 3D magnetic field, generating amplified mechanical stimulation.
Zhenguang Li, Li Peng, Laiya Lu, Yingying Wang, Xiaolei Chen, Feng Yin, Cuijun Deng, Yu Cheng   +7 more
wiley   +1 more source

Visualization techniques for proofs: Implications for enhancing conceptualization and understanding in mathematical analysis

Journal of Honai Math
Visual images are frequently utilized to elucidate concepts in general mathematics and geometry; however, their application in mathematical analysis remains uncommon. This paper demonstrates how visual imagery can enhance the proof of certain theorems in
Jonatan Muzangwa, Ugorji Ogbonnaya
doaj   +1 more source

Some fundamental theorems in the interval-valued functions and time scales [PDF]

Journal of Mahani Mathematical Research
This research investigates the topological structure of the space of interval-valued functions equipped with an order relation defined by open balls. The aim is to establish analogues of fundamental theorems in calculus, including Bolzano’s theorem, the ...
Tahere Shokoohi, Seyed Mohammad Sadegh Modarres Mosadegh, Azam Karami   +2 more
doaj   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure

Journal of Inequalities and Applications, 2017
We derive the Levinson type generalization of the Jensen and the converse Jensen inequality for real Stieltjes measure, not necessarily positive. As a consequence, also the Levinson type generalization of the Hermite-Hadamard inequality is obtained ...
Rozarija Mikić, Josip Pečarić, Mirna Rodić   +2 more
doaj   +1 more source

Mean-value theorem for vector-valued functions [PDF]

Mathematica Bohemica, 2012
Summary: For a differentiable function \(f\: I\rightarrow \mathbb {R}^k\), where \(I\) is a real interval and \(k\in \mathbb {N}\), a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence of a mean \(M\: I^2\rightarrow I\) such that \[ f(x)-f(y)=(x-y)f'(M(x,y)),\; x,y\in I, \] are given ...
openaire   +1 more source