Results 171 to 180 of about 964 (198)

On rational approximation of convex functions with a given modulus of continuity

Analysis Mathematica, 1978
Доказывается, что для наименьших равномер ных рациональных уклоне нийRn(f) выпуклой на [0,1] функции с модулем непрерывно сти, не превосходящемω(δ), сп раведлива оценка $$R_n (f) \leqq c\frac{{\ln ^2 n}}{{n^2 }}\mathop {\max }\limits_{e^{ - n} \leqq \theta< 1} \left\{ {\omega (\theta )\ln \frac{1}{\theta }} \right\},$$ гдес — абсолютная по ...
Bulanov, A. P., Hatamov, A.
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Inequalities of Jensen’s Type for \(\ K-\) Bounded Modulus Convex Complex Functions

2020
Let \(\ D \subset \mathbb{C}\) be a convex domain of complex numbers and \(\ K > 0.\)  We say that the function \(\ f : D \subset \mathbb{C} \to \mathbb{C}\) is called \(\ K-\) bounded modulus convex, for the given \(\ K > 0,\) if it satisfies the condition                               \(\|(1-\lambda) f(x) + \lambda f(y) - f((1-\lambda)x + \lambda y)
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Banas–Hajnosz–Wedrychowicz type modulus of convexity and normal structure in Banach spaces

Journal of Fixed Point Theory and Applications, 2018
The author presents some sufficient conditions for a Banach space to have uniform normal structure in terms of inequalities involving the coefficients \(SY_X(\varepsilon)\) defined by \textit{S. Saejung} and \textit{J. Gao} [Nonlinear Funct. Anal. Appl. 21, No.
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Lower and upper estimations of the modulus of convexity in some Orlicz spaces

Archiv der Mathematik, 1991
Lower and upper estimations of the modulus of convexity for Orlicz spaces generated by Orlicz functions such that their compositions with the square root are convex functions in \({\mathbb{R}}_+\) are given in terms of Lindberg and Simonenko indices. Consequently, a calculation of the modulus in a class of Orlicz spaces essentially wider than the class
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Tough and stretchable ionogels by in situ phase separation

Nature Materials, 2022
Meixiang Wang, Mohammad Shamsi, Wen Qian
exaly  

Electrolyte design for LiF-rich solid–electrolyte interfaces to enable high-performance microsized alloy anodes for batteries

Nature Energy, 2020
Ji Chen, Xiulin Fan, Hongbin Yang
exaly  

3D Printing Nanostructured Solid Polymer Electrolytes with High Modulus and Conductivity

Advanced Materials, 2022
Valentin A Bobrin, Nathaniel Corrigan, Cyrille A Boyer   +2 more
exaly  

Intrinsically Self-Healing Polymers: From Mechanistic Insight to Current Challenges

Chemical Reviews, 2023
Bingrui Li, Peng-Fei Cao, Tomonori Saito
exaly  

Stretchable ultrasonic arrays for the three-dimensional mapping of the modulus of deep tissue

Nature Biomedical Engineering, 2023
, Xuejun Qian
exaly  

Structured fabrics with tunable mechanical properties

Nature, 2021
Yifan Wang, Liuchi Li, Douglas C Hofmann
exaly