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Refinements of some limit hardyType Inequalities via Superquadracity
(Journal article; Tidsskriftartikkel; Peer reviewed, 20171103)Refinements of some limit Hardytype inequalities are derived and discussed using the concept of superquadracity. We also proved that all three constants appearing in the refined inequalities obtained are sharp. The natural ... 
Potential type operators in PDEs and their applications
(Journal article; Peer reviewed, 201701)We prove the boundedness of Potential operator in weighted generalized Morrey space in terms of MatuszewskaOrlicz indices of weights and apply this result to the Hemholtz equation in ℝ3 with a free term in such a space. ... 
Some new TwoSided Inequalities concerning the Fourier Transform
(Journal article; Peer reviewed, 2017)The classical HausdorffYoung and HardyLittlewoodStein inequalities do not hold for p > 2. In this paper we prove that if we restrict to net spaces we can even derive a twosided estimate for all p > 1. In particular, ... 
Predicting Bedside Falls using Current Context
(Peer reviewed; Chapter, 20180205)Each year about a third of the elderly aged 65 or older experience a fall. Many of these falls could be avoided if fall risk assessment and prevention tools where available in the daily living situation. Such tools would ... 
Fejér and HermiteHadamard Type Inequalities for NQuasiconvex Functions
(Journal article; Peer reviewed, 20171228)Some new extensions and re finements of Hermite – Hadamard and Fejer type inequalities for functions which are N quasiconvex are derived and discussed. 
Economic evaluation of the Power grid tariff for households With solar Power installed
(Journal article; Peer reviewed, 2017)This paper focuses on alternative grid tariffs for household customers with roof top PVpanels ("prosumers"), and evaluates how alternative grid tariffs might affect the benefit from investing in a roof top PVpanel. The ... 
Periodic homogenization of nonlocal operators with a convolutiontype kernel
(Journal article; Peer reviewed, 2017)The paper deals with a homogenization problem for a nonlocal linear operator with a kernel of convolution type in a medium with a periodic structure. We consider the natural diﬀusive scaling of this operator and study the ... 
Homogenization of biomechanical models for plant tissues
(Journal article; Peer reviewed, 2017)In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reactiondiffusionconvection equations for chemical processes ... 
Stationary convectiondiffusion equation in an infinite cylinder
(Journal article; Peer reviewed, 20171221)We study the existence and uniqueness of a solution to a linear stationary convection–diffusion equation stated in an infinite cylinder, Neumann boundary condition being imposed on the boundary. We assume that the cylinder ... 
Preevaluation and interactive editing of Bspline and GERBS curves and surfaces
(Peer reviewed; Conference object; Chapter, 201712)Interactive computer based geometry editing is very useful for designers and artists. Our goal has been to develop useful tools for geometry editing in a way that increases the ability for creative design. When we ... 
Twoscale convergence in thin domains with locally periodic rapidly oscillating boundary
(Journal article; Peer reviewed, 2017)The aim of this paper is to adapt the notion of twoscale convergence in Lp to the case of a measure converging to a singular one. We present a speciﬁc case when a thin cylinder with locally periodic rapidly oscillating ... 
A new look at classical inequalities involving Banach lattice norms
(Journal article; Peer reviewed, 20171208)Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation). ... 
Matrix factorization of multivariate Bernstein polynomials
(Journal article; Peer reviewed, 2015)Ordinary univariate Bernstein polynomials can be represented in matrix form using factor matrices. In this paper we present the deﬁnition and basic properties of such factor matrices extended from the univariate case to ... 
Multisource data collection for stateoftheart data analysis from groundproximate images in sea ice classification
(Peer reviewed; Conference object; Book, 20170808)In modern data analysis it is imperative to use well maintained data sources with curated content. This publication gives an approach for research areas, where there is no such central facility. The specific area used here ... 
Additive weighted Lp estimates of some classes of integral operators involving generalized Oinarov kernels
(Journal article; Peer reviewed, 2017) 
Regression analysis using a blending type spline construction
(Peer reviewed; Chapter, 20171018)Regression analysis allows us to track the dynamics of change in measured data and to investigate their properties. A sufficiently good model allows us to predict the behavior of dependent variables with higher accuracy, ... 
Recognizing Bedside Events Using Thermal and Ultrasonic Readings
(Journal article; Tidsskriftartikkel; Peer reviewed, 20170609)Falls in homes of the elderly, in residential care facilities and in hospitals commonly occur in close proximity to the bed. Most approaches for recognizing falls use cameras, which challenge privacy, or sensor devices ... 
General purpose process control unit
(Master thesis; Mastergradsoppgave, 20170612)The main purpose of the thesis is to make a control unit where different models can be tested with a number of motors, sensors, indicators, control devices which are used by Fischertechnik in training models. This work ... 
Modelling and simulating a hybrid electric vehicle
(Master thesis; Mastergradsoppgave, 20170612)This thesis presents an overview of the different types of hybrid electric vehicle structures and basic guidelines regarding choice of components. The simulation model of a hybrid electric vehicle was created for this ... 
Transition to DC distribution grids
(Master thesis; Mastergradsoppgave, 20170815)"The war between AC and DC has emerged once again due to the rapid development and advancement of electric power technologies. Nowadays, power electronics and DC/DC converters are able to change voltage levels, which could ...