Results 61 to 70 of about 7,004,346 (287)
The Order of Strongly Starlikeness of the Generalized α-Convex Functions [PDF]
Symmetry, 2019 We consider the order of the strongly-starlikeness of the generalized α -convex functions. Some sufficient conditions for functions to be p-valently strongly-starlike are given.
Yuan Yuan, Rekha Srivastava, Jin-Lin Liu
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Advanced Engineering Materials, EarlyView.Near‐surface deuterium enrichment profiles for different microstructural types of TiAl after exposure at 700 °C in a heavy water‐containing environment. The deuterium levels are significantly higher than expected from natural occurrence, indicating that the heavy water dissociated during the exposure treatment and entered the specimens.
Jonathan D. H. Paul +5 more
wiley +1 more source
Ostrowski-type inequalities for strongly convex functions
Georgian Mathematical Journal, 2017 Abstract In this paper, we establish Ostrowski-type inequalities for strongly convex functions, by using some classical inequalities and elementary analysis. We also give some results for the product of two strongly convex functions.
Set, Erhan +6 more
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Coordinated Architectural and Chemical Reinforcement in the Crushing Mandible of a Soldier Termite
Advanced Functional Materials, EarlyView.The crushing mandible of a soldier termite withstands substantial biting loads despite lacking mineral. Its cuticle is partitioned: convex teeth pair hardness and zinc enrichment with aligned chitin fibers for contact durability, while stiffer concave regions between teeth carry bending loads.
Andrew Tran Nguyen +16 more
wiley +1 more source
A hypothesis about the rate of global convergence for optimal methods (Newtons type) in smooth convex optimization [PDF]
Компьютерные исследования и моделирование, 2018 In this paper we discuss lower bounds for convergence of convex optimization methods of high order and attainability of this bounds. We formulate a hypothesis that covers all the cases.
Alexander Vladimirovich Gasnikov +1 more
doaj +1 more source
Advanced Functional Materials, EarlyView.The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika +5 more
wiley +1 more source
On the order of strongly starlikeness of strongly convex functions
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1993 Let \(A\) denote the set of functions \(f(z)\) analytic in the unit disc \(E\) with \(f(0)=0\) and \(f'(0)=1\). P. T. Mocanu has proved that if \[ |\arg(1+ zf''(z)/f'(z)|< \pi\gamma/2\quad\text{for all }z\in E, \] then \(|\arg zf'(z)/f(z)|
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SAdam: A Variant of Adam for Strongly Convex Functions
CoRR, 2019 The Adam algorithm has become extremely popular for large-scale machine learning. Under convexity condition, it has been proved to enjoy a data-dependant $O(\sqrt{T})$ regret bound where $T$ is the time horizon. However, whether strong convexity can be utilized to further improve the performance remains an open problem.
Guanghui Wang 0006 +3 more
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High‐Efficiency Quantum Defect Generation in Carbon Nanotubes via Oxygen‐Free Photochemistry
Advanced Functional Materials, EarlyView.We show that oxygen plays an important role in quantum defect formation in carbon nanotubes and identify reaction conditions to create a range of different quantum defects for photonics and biosensing. ABSTRACT Single‐walled carbon nanotubes (SWCNTs) offer potential for a wide range of applications from optoelectronic devices to biomedical diagnostics.
Christina Derichsweiler +6 more
wiley +1 more source
MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Korean Mathematical Society, 2003 Let \({\mathcal A}\) be the class of functions \(f(z)=z+\sum_{k=2}^\infty a_kz^k\) that are analytic in the unit disc \({\mathcal U}=\{z:|z|
Cho, Nak Eun, Kim, Tae Hwa
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