Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag): Recent submissions
Now showing items 2140 of 161

Some New Iterated HardyType Inequalities
(Journal article; Tidsskriftartikkel; Peer reviewed, 20121210) 
Blending spline surfaces over polygon mesh and their application to isogeometric analysis
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230911)Finite elements are allowed to be of a shape suitable for the specific problem. This choice defines thereafter the accuracy of the approximated solution. Moreover, flexible element shapes allow for the construction of an arbitrary domain topology. Polygon meshes are a common representation of the domain that cover any choice of the finite element shape. Being an alternative tool for modeling and ... 
Some New Weak (Hp Lp)Type Inequality for Weighted Maximal Operators of Partial Sums of Walsh–Fourier Series
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230818)In this paper, we introduce some new weighted maximal operators of the partial sums of the Walsh–Fourier series. We prove that for some “optimal” weights these new operators indeed are bounded from the martingale Hardy space H<sub>p</sub>(G) to the Lebesgue space weak−L<sub>p</sub>(G), for 0<p<1. Moreover, we also prove sharpness of this result. As a consequence we obtain some new and wellknown ... 
Market Study on Inspection and Maintenance Robotics in Norway  Suppliers, Market Needs and Challenges
(Research report; Forskningsrapport, 20230901)New and more complex industrial applications of robotic systems for inspection and maintenance (I&M) purposes are enabled by the continuous improvements to the system capabilities. Key factors that fuel this development are advancements in Artificial Intelligence (AI), improvements of sensor technology, miniaturization and cost reduction of components (including motors, batteries, processors and ... 
EMobility and Batteries—A Business Case for Flexibility in the Arctic Region
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230228)This paper provides a method for determining the economic incentives and limitations for a battery used for peak clipping, with the goal of finding an optimal mix between the battery’s power density and energy density. A ratio called the Rfactor has been introduced, which helps determine the energy demand to curb the peak. The paper’s results embrace different investment scenarios showing what ... 
On the Heat and Wave Equations with the SturmLiouville Operator in Quantum Calculus
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230119)In this paper, we explore a generalised solution of the Cauchy problems for the qheat and qwave equations which are generated by Jackson’s and the qSturmLiouville operators with respect to t and x, respectively. For this, we use a new method, where a crucial tool is used to represent functions in the Fourier series expansions in a Hilbert space on quantum calculus. We show that these solutions ... 
(Hp− Lp Type inequalities for subsequences of Nörlund means of Walsh–Fourier series
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230407) 
Some new refinements of the Young, Hölder, and Minkowski inequalities
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230221)We prove and discuss some new refined Hölder inequalities for any p>1 and also a reversed version for 0<p<1. The key is to use the concepts of superquadraticity, strong convexity, and to first prove the corresponding refinements of the Young and reversed Young inequalities. Refinements of the Minkowski and reversed Minkowski inequalities are also given. 
Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230504)We prove and discuss some new weak type (1, 1) inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means. As applications, both some wellknown and new inequalities are pointed out. 
On operator estimates in homogenization of nonlocal operators of convolution type
(Journal article; Tidsskriftartikkel; Peer reviewed, 20230111) 
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane
(Journal article; Tidsskriftartikkel; Peer reviewed, 20220106)We prove that by scaling nearestneighbour ferromagnetic energies de ned on Poisson random sets in the plane we obtain an isotropic perimeter energy with a surface tension characterised by an asymptotic formula. The result relies on proving that cells with `very long' or `very short' edges of the corresponding Voronoi tessellation can be neglected. In this way we may apply Geometry Measure ... 
Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods
(Journal article; Tidsskriftartikkel; Peer reviewed, 20220917)The concept of Vilenkin–Lebesgue points was introduced in [12], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was proved. In this paper, we present a different (and simpler) approach to prove a similar result, which can be used to prove that the corresponding result holds also in a more general context, namely for regular Norlund and Tmeans. 
Large deviations for Markov jump processes in periodic and locally periodic environments
(Journal article; Tidsskriftartikkel; Peer reviewed, 202212)The paper deals with a family of jump Markov process defined in a medium with a periodic or locally periodic microstructure. We assume that the generator of the process is a zero order convolution type operator with rapidly oscillating locally periodic coefficient and, under natural ellipticity and localization conditions, show that the family satisfies the large deviation principle in the path space ... 
Discretization and Representation of a Complex Environment for OnPolicy Reinforcement Learning for Obstacle Avoidance for Simulated Autonomous Mobile Agents
(Journal article; Tidsskriftartikkel; Peer reviewed, 20220712)In recent years, the demand for digitalization, automation, and smart systems in the airline industry has accelerated. Furthermore, due to the ongoing global pandemic as of 2022, airlines are faced with the challenge of offering flexibility in both cargo and passenger capacity. Studies show that the use of smart products and autonomous agents are expected to play a key part in the digital transformation ... 
Toward Interactive Music Generation: A Position Paper
(Journal article; Tidsskriftartikkel; Peer reviewed, 20221130)Music generation using deep learning has received considerable attention in recent years. Researchers have developed various generative models capable of imitating musical conventions, comprehending the musical corpora, and generating new samples based on the learning outcome. Although the samples generated by these models are persuasive, they often lack musical structure and creativity. For instance, ... 
Blending techniques in Curve and Surface constructions
(Book; Bok, 2022) 
Blendingsteknikker i kurve og flatekonstruksjoner
(Book; Bok, 2022) 
A note on contributions concerning nonseparable spaces with respect to signal processing within Bayesian frameworks
(Journal article; Tidsskriftartikkel; Peer reviewed, 20220717)In this paper, we discuss the study of some signal processing problems within Bayesian frameworks and semigroups theory, in the case where the Banach space under consideration may be nonseparable. For applications, the suggested approach may be of interest in situations where approximation in the norm of the space is not possible. We describe the idea for the case of the abstract Cauchy problem ... 
Refinements of some classical inequalities via superquadraticity
(Journal article; Tidsskriftartikkel; Peer reviewed, 20220621)Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new for the classical situation. 
A Feedforward Neural Network for Modeling of Average Pressure Frequency Response
(Journal article; Tidsskriftartikkel; Peer reviewed, 20220222)The Helmholtz equation has been used for modeling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation can quickly become unfeasible if one wants to study many different geometries for ranges of frequencies. We propose a machine learning approach, namely a feedforward dense neural network, for computing the average sound ...