Results 71 to 80 of about 17,381 (301)

Layer-wise Adaptive Graph Convolution Networks Using Generalized Pagerank

open access: yes, 2022
We investigate adaptive layer-wise graph convolution in deep GCN models. We propose AdaGPR to learn generalized Pageranks at each layer of a GCNII network to induce adaptive convolution.
Suzuki, Taiji, Wimalawarne, Kishan
core  

Harmonic Analysis Associated with the Generalized q-Bessel Operator

open access: yesInternational Journal of Analysis and Applications, 2016
In this article, we give a new harmonic analysis associated with the generalized q-Bessel operator. We introduce the generalized $q$-Bessel transform, the generalized q-Bessel translation and the generalized $q$-Bessel convolution product.
Ahmed Abouelaz   +2 more
doaj   +2 more sources

Generalized weighted Besov spaces on the Bessel hypergroup

open access: yesJournal of Function Spaces and Applications, 2006
In this paper we study generalized weighted Besov type spaces on the Bessel-Kingman hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized ...
Miloud Assal, Hacen Ben Abdallah
doaj   +1 more source

Powering Nanocrystal‐Based Heat Engines With Light‐Emitting Metasurfaces That Influence Their Temperature

open access: yesAdvanced Functional Materials, EarlyView.
Metasurfaces and other structured photonic environments can dramatically modify the absorption and/or light emission of semiconductors. However, the consequences of these changes on the temperature of the system are not well understood. The authors address this problem for colloidal nanocrystals and leverage their findings to convert light into ...
Hugo Kowalczyk   +7 more
wiley   +1 more source

GENERALIZED DUNKL CONVOLUTION OPERATOR

open access: yes, 2020
307-308В работе рассматривается обобщенный оператор Данкла и его свойства. Изучается построенный по нему оператор свертки.The paper considers the generalized Dunkl operator and its properties.
Рахимова Алсу Ильдаровна   +1 more
core  

The multinomial convolution sum of a generalized divisor function

open access: yesOpen Mathematics, 2022
The main theorem of this article is to evaluate and express the multinomial convolution sum of the divisor function σr♯(n;N/4,N){\sigma }_{r}^{\sharp }\left(n;\hspace{0.33em}N\hspace{-0.08em}\text{/}\hspace{-0.08em}4,N) in as a simple form as possible ...
Park Ho
doaj   +1 more source

Janus Photonic Graphics by Stratified Assembly of Two Distinct Colloids

open access: yesAdvanced Functional Materials, EarlyView.
Double‐sided Janus photonic micropatterns with vivid structural colors are fabricated through a single‐step bottom‐up strategy. Density‐driven stratification and depletion‐mediated crystallization of PMMA and PS binary colloids lead to exclusive lattices on opposite surfaces under centrifugal force.
Young Geon Kim   +4 more
wiley   +1 more source

New Limit Formulas for the Convolution of a Function with a Measure and Their Applications

open access: yesJournal of Inequalities and Applications, 2008
Asymptotic behavior of a convolution of a function with a measure is investigated. Our results give conditions which ensure that the exact rate of the convolution function can be determined using a positive weight function related to the given function ...
László Horváth   +1 more
doaj   +2 more sources

Transparent and Robust LiCl–Organohydrogel Triboelectric Nanogenerator With Deep Learning Assisted Sensing

open access: yesAdvanced Functional Materials, EarlyView.
Develop a LiCl–PEI–PAM hydrogel with 3000% stretchability and excellent optical transparency. Through comparative studies of various salts, confirm that LiCl is the most suitable salt for high TENG output. Achieve excellent freeze‐resistant, dry‐resistant, and rapid self‐healing (10 s) properties even in extreme environments. Balance ionic conductivity,
Hai Anh Thi Le   +6 more
wiley   +1 more source

On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms [PDF]

open access: yes, 2013
summary:We deal with several classes of integral transformations of the form $$ \label {generalformula} f(x)\rightarrow D\int _{\mathbb R_+^2} \frac 1u ({\rm e}^{-u\cosh (x+v)}+{\rm e}^{-u\cosh (x-v)}) h(u)f(v) {\rm d}u {\rm d} v, $$ where $D$ is an ...
Hong, Nguyen Thanh   +2 more
core   +1 more source

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