Results 121 to 130 of about 165,935,923 (285)

The Second Ditzian-Totik modulus revisited: refined estimates for positive linear operators

Journal of Numerical Analysis and Approximation Theory, 2003
Direct theorems for approximation by positive linear operators in terms of the second order Ditzian-Totik modulus of smoothness are proved. Special emphasis is on the magnitude of the absolute constants.
Heinz H. Gonska, Gancho T. Tachev
doaj   +2 more sources

On moduli of smoothness in orlicz classes

, 2010
Let T be the unit circle in the complex plane. In this work the relationship between the modulus of smoothness and the best approximation in Orlicz space L-M(T), have been investigated.
openaire   +2 more sources

Photo‐Switchable Molecular Module Programming PET Biodegradation in Aquatic Environments

Advanced Functional Materials, EarlyView.
We address the plastic durability paradox by integrating an itaconic acid–derived pyrrolidone module into polymer backbones. Sunlight in water triggers Norrish Type I ring‐opening and hydrophilization, enabling rapid biodegradation into nontoxic minerals.
Mohammad Asif Ali, Jixin Zheng, Satoshi Wakai, Jie Liu, Hidetaka Nomaki, Misato Tsukatani, Noriyuki Isobe, Jingcheng Sang, Yuriko Aoki, Hideo Okamura, Daisuke Sasaki, Chiaki Ogino, Yuzo Yamazaki, Takashi Nishikaze, Kenji Takada, Maiko K. Okajima, Tatsuo Kaneko   +16 more
wiley   +1 more source

A Magneto‐Mechanically Activated Nerve Guidance Conduit Promotes Peripheral Nerve Regeneration via TIMP1‐Mediated Membrane Tension Transfer

Advanced Functional Materials, EarlyView.
This study presents a magneto‐mechanical strategy that incorporates FP@MSCs into an aligned PCL/GelMA nerve guidance conduit. Magnetic stimulation increases membrane tension in FP@MSCs, triggering cytoskeletal remodeling, Schwann cell‐like differentiation, and TIMP1 secretion. TIMP1 activates ITGB1/CD63–FAK signaling in NE‐4C cells, increasing membrane
Xinyu Zhu, Yumin Wu, Xiang Gao, Tianlu Wang, Wanting Jia, Xueying Mei, Huanzhong Ji, Zongxi Wu, Yujie Liang, Xiang Li, Kan Li, Jingyuan Li, Guangsen Zheng, Guiqing Liao, Siyong Gao   +14 more
wiley   +1 more source

NON AND SEMI-PARAMETRIC ESTIMATION IN MODELS WITH UNKNOWN SMOOTHNESS [PDF]

Many asymptotic results for kernel-based estimators were established under some smoothness assumption on density. For cases where smoothness assumptions that are used to derive unbiasedness or asymptotic rate may not hold we propose a combined estimator ...
Yulia Kotlyarova, Victoria Zinde-Walsh
core  

On moduli of smoothness and approximation by trigonometric polynomials in weighted lorentz spaces

, 2016
We investigate the approximation properties of the functions by trigonometric polynomials in weighted Lorentz spaces with weights satisfying so called Muckenhoupt's Ap condition.
Jafarov, Sadulla
core   +1 more source

Deciphering the Photopolymerization‐Induced Nanostructures and Interface Formation for Submicrometer Additive Manufacturing

Advanced Functional Materials, EarlyView.
This work reveals the UV‐curing‐induced monomer‐rich domain, oligomer‐rich domain, and entangled oligomer domain. The cured submicron films in stressed state induce interlayer nano‐wrinkle structures during the deposition of the second layer. Stress‐free cured films in relaxed state form non‐diffusive, diffusive and semi‐diffusive interlayer ...
Shouzheng Chen, Yufeng Zhai, Jungui Zhou, Lixing Li, Simon Schraad, Guangjiu Pan, Xuehe Jiang, Sarathlal Koyiloth Vayalil, Rolf A. T. M. van Benthem, Julien R. G. Navarro, Johan F. G. A. Jansen, Mats K. G. Johansson, Peter Müller‐Buschbaum, Stephan V. Roth   +13 more
wiley   +1 more source

On moduli of smoothness of fractional order

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some ...
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica, Tikhonov, Sergey Yu.   +1 more
core  

Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces

Advanced Functional Materials, EarlyView.
Sea cucumber‐inspired gelatin hydrogels are formed by directional freezing and mechanically programmed through subsequent ionic treatment. Multiscale characterization and modeling link ion‐regulated chain interactions to directional load transfer within the aligned hierarchical architecture.
Youchao Teng, TzuChun Chung, Katpady Akhil Tantry, Siyu Wu, Jing Tian, Yunqi Cui, Lanyu Li, Yongzan Zhou, Zhilei Zhang, Zhe Su, Gaili Cao, Kun‐Wei Yeh, Ruipeng Li, Xianghui Xiao, Adam F. G. Leontowich, Yuan‐Yu Hsueh, Zhao Pan, Kam C. Tam, Badri Narayanan, Song Li, Yimin. A. Wu   +20 more
wiley   +1 more source

Fractional smoothness and applications in Finance [PDF]

This overview article concerns the notion of fractional smoothness of random variables of the form $g(X_T)$, where $X=(X_t)_{t\in [0,T]}$ is a certain diffusion process.
Stefan Geiss, Emmanuel Gobet
core