Results 111 to 120 of about 217,177 (294)

A note on approximation by rational functions [PDF]

Proceedings of the Edinburgh Mathematical Society, 1943
In the present paper two problems on approximation by rational functions will be treated. The one concerns rational functions whose poles are of any order but lie at two preassigned points. The other problem relates to rational functions which have simple poles only.
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Time-Domain Fractional Behaviour Modelling with Rational Non-Singular Kernels

Axioms
This paper proposes a solution to model fractional behaviours with a convolution model involving non-singular kernels and without using fractional calculus. The non-singular kernels considered are rational functions of time. The interest of this class of
Jocelyn Sabatier, Christophe Farges
doaj   +1 more source

Unassisted Photoelectrochemical Hydrogen Production Coupled with Selective Glucose Oxidation Using Metal Halide Perovskite Photoanodes

Advanced Functional Materials, EarlyView.
A metal halide perovskite‐based photoanode integrated with a CoNiFe layered double hydroxide (LDH) cocatalyst is reported for selective glucose oxidation reaction (GOR), achieving simultaneous and unassisted photoelectrochemical hydrogen production. This system delivers high photocurrent density, excellent Faradaic efficiency of GOR, and strong techno ...
Shujie Zhou, Xu Liu, Michael Gunawan, Yihao Shan, Ming Zhang, Shaine Lucas, Adhi Satriyatama, Denny Gunawan, Ao Wang, Xiaojie Yuan, Kaiwen Sun, Rose Amal, Xiaojing Hao   +12 more
wiley   +1 more source

Tropical Solution of Discrete Best Approximation Problems

Mathematics
We consider discrete best approximation problems in the setting of tropical algebra, which is concerned with the theory and application of algebraic systems with idempotent operations. Given a set of input–output pairs of an unknown function defined on a
Nikolai Krivulin
doaj   +1 more source

Bimetallic Nanoparticles as Cocatalysts for Photocatalytic Hydrogen Production

Advanced Functional Materials, EarlyView.
Recent developments have introduced bimetallic nanoparticles as effective cocatalysts for photocatalytic systems. This review explores the rapidly expanding research on bimetallic cocatalysts for photocatalytic production of hydrogen, emphasizing the creation of carrier‐selective contacts, localized surface plasmon resonance effects, methodologies for ...
Yufen Chen, Asier Agrelo‐Lestón, Ignasi Burgués‐Ceballos, Jordi Llorca, Lluís Soler   +4 more
wiley   +1 more source

Approximation by modified Bernstein-Balazs type rational functions

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2000
Summary: This paper is devoted to the problem of approximation of continuously differentiable functions by the modified Balaszs-Bernstein type rational functions. The theorem on the order of approximation, in terms of the modulus of continuity, and the Voronowskaja type theorem are established.
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Modulating Two‐Photon Absorption in a Pyrene‐Based MOF Series: An In‐Depth Investigation of Structure–Property Relationships

Advanced Functional Materials, EarlyView.
This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger, Helmy Pacheco Hernandez, Yang Cui, Hongxing Hao, Vanessa Ramm, David C. Mayer, Khai‐Nghi Truong, Roland A. Fischer, Jürgen Hauer, Mariana Kozlowska, Alexander Pöthig   +10 more
wiley   +1 more source

Tuning the Dielectric Properties of Individual Clay Nanosheets by Interlayer Composition: Toward Nano‐Electret Materials

Advanced Functional Materials, EarlyView.
The dielectric properties of clays are studied on the level of individual monolayers and functional double stacks. The material breakdown characteristics and charge storage performance are analyzed. For illustration, a defined charge pattern representing a cuneiform character is produced, written into a microscopic clay tile, referencing the origins of
Sebastian Gödrich, Paul Markus, Matthias Stöter, Bernhard Biersack, Rainer Schobert, Josef Breu, Georg Papastavrou   +6 more
wiley   +1 more source

Cryo‐EM of Rationally Designed Photosystem I Nanoassembly on Graphene Validates Orientation‐Driven Enhancement of Photocatalytic Performance

Advanced Functional Materials, EarlyView.
The first cryo‐EM visualization and quantification of oriented Photosystem I (PSI) on single‐layer graphene is reported. Domain‐specific covalent anchoring of PSI, with the reducing side of the biophotocatalyst toward graphene, promotes three‐fold higher anodic photocurrent generation compared to a randomly physisorbed counterpart. This approach allows
Miriam Izzo, Margot Jacquet, Tomasz Góral, Marcin Strawski, Takayuki Fujiwara, Shin‐ya Miyagishima, Joanna Kargul   +6 more
wiley   +1 more source

On approximation of functions byp–Faber-Laurent rational functions

Complex Variables and Elliptic Equations, 2014
Let G be a doubly connected domain bounded by regular curves. In this work, the approximation of the functions by p–Faber-Laurent rational functions in Smirnov classes are studied.
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