Results 121 to 130 of about 7,154 (300)
Optimal Rational Approximations by the Modified Fourier Basis
We consider convergence acceleration of the modified Fourier expansions by rational trigonometric corrections which lead to modified-trigonometric-rational approximations.
Arnak V. Poghosyan, Tigran K. Bakaryan
doaj +1 more source
On Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators
The concern of this paper is to introduce a Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators and investigate their approximation behaviors. We first define a new ( p , q ) $( p,q ) $ -integral and construct the operators.
Tuncer Acar +2 more
doaj +1 more source
Random Sequences and Pointwise Convergence of Multiple Ergodic Averages [PDF]
International audienceWe prove pointwise convergence, as $N\to \infty$, for the multiple ergodic averages $\frac{1}{N}\sum_{n=1}^N f(T^nx)\cdot g(S^{a_n}x)$, where $T$ and $S$ are commuting measure preserving transformations, and $a_n$ is a random ...
N. Frantzikinakis +8 more
core +1 more source
This study presents a UAV‐based framework that integrates deep learning‐based super‐resolution reconstruction and an enhanced YOLO detector to improve centimetre‐scale benthic organism monitoring. Using hermit crabs in Lake Hamana, a coastal lagoon in Japan, as a case study, the method substantially enhanced small‐object detection performance ...
Fan Zhao +10 more
wiley +1 more source
ABSTRACT The adoption of geospatial and digital technologies, including Geographic Information Systems (GIS), Building Information Modelling (BIM), Digital Twins, the Internet of Things (IoT) and Artificial Intelligence (AI), is increasingly recognised as key enablers of sustainable development.
Monica C. M. Parlato, Andrea Pezzuolo
wiley +1 more source
We give necessary and sufficient conditions for exchange of limits of double-indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect
Antonio Boccuto, Xenofon Dimitriou
doaj +1 more source
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri +4 more
wiley +1 more source
Pointwise convergence of gradient‐like systems
AbstractS. Łojasiewicz has shown that the ω ‐limit sets of the trajectories of analytic gradient systems consist of at most one point. We extend this result to the larger class of gradient‐like vector fields satisfying an angle condition. In particular, this includes gradient systems, defined by arbitrary C1 functions from an analytic‐geometric ...
openaire +3 more sources
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
ABSTRACT Accurate surface‐pressure prediction over broad operating envelopes is critical for supersonic aerodynamic analysis and design. To overcome the bottlenecks of traditional computational fluid dynamics (CFD) in real‐time performance and computational efficiency, data‐driven deep learning methods have emerged. However, existing data‐driven models
Hongbin Xu, Yin Long, Junlin Wu
wiley +1 more source

