Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag)
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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 ... 
Lagrangian and ALE Formulations For Soil Structure Coupling with Explosive Detonation
(Journal article; Tidsskriftartikkel; Peer reviewed, 2017)Simulation of SoilStructure Interaction becomes more and more the focus of computational engineering in civil and mechanical engineering, where FEM (Finite element Methods) for soil and structural mechanics and ... 
Some new Hardytype inequalities in qanalysis
(Peer reviewed, 201609)We derive necessary and sufficient conditions (of MuckenhouptBradley type) for the validity of q analogs of (r, p) weighted Hardytype inequalities for all possible positive values of the parameters r and p . We also ... 
A new discrete Hardytype inequality with kernels and monotone functions
(Peer reviewed, 20151006)A new discrete Hardytype inequality with kernels and monotone functions is proved for the case 1<q<p<∞1<q<p<∞. This result is discussed in a general framework and some applications related to Hölder’s summation method are ... 
Some new Hardytype inequalities for RiemannLiouville fractional qintegral operator
(Peer reviewed, 20150924)We consider the qanalog of the RiemannLiouville fractional qintegral operator of order n∈Nn∈N. Some new Hardytype inequalities for this operator are proved and discussed. 
Time scale Hardytype inequalities with ‘broken’ exponent p
(Peer reviewed, 20150116)In this paper, some new Hardytype inequalities involving ?broken? exponents are derived on arbitrary time scales. Our approach uses both convexity and superquadracity arguments, and the results obtained generalize, ... 
Asymptotics of a spectralsieve problem
(Peer reviewed, 20151118)In a bounded domain with a thin periodically punctured interface we study the limit behavior of the bottom of spectrum for a Steklov type spectral problem, the Steklov boundary condition being imposed on the perforation ... 
Osmosis for nonelectrolyte solvents in permeable periodic porous media
(Peer reviewed, 201608)The paper gives a rigorous description, based on mathematical homogenization theory, for flows of solvents with not charged solute particles under osmotic pressure for periodic porous media permeable for solute particles. ... 
Singularly perturbed spectral problems with Neumann boundary conditions
(Peer reviewed, 20150907)The paper deals with the Neumann spectral problem for a singularly perturbed secondorder elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the ... 
Homogenization of random Navier–Stokestype system for electrorheological fluid
(Peer reviewed, 20151119)The paper deals with homogenization of Navier–Stokestype system describing electrorheological fluid with random characteristics. Under nonstandard growth conditions we construct the homogenized model and prove the ... 
A note on the maximal operators of VilenkinNörlund means with nonincreasing coefficients
(Peer reviewed, 2016)In [14] we investigated some Vilenkin—Nörlund means with nonincreasing coefficients. In particular, it was proved that under some special conditions the maximal operators of such summabily methods are bounded from the ... 
Boundedness and compactness of a class of Hardy type operators
(Journal article; Tidsskriftartikkel; Peer reviewed, 20161213)We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the RiemannLiouville, Hadamard, and ErdelyiKober operators. In particular, these results ... 
Some sharp inequalities for integral operators with homogeneous kernel
(Peer reviewed, 20160409)One goal of this paper is to show that a big number of inequalities for functions in Lp(R+), p ≥ 1, proved from time to time in journal publications are particular cases of some known general results for integral operators ... 
Some new estimates of the ‘Jensen gap’
(Peer reviewed, 20160201) 
Sharp HpLp type inequalities of weighted maximal operators of VilenkinNörlund means and its applications
(Peer reviewed, 20161001)We prove and discuss some new HpLp type inequalities of weighted maximal operators of VilenkinNörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. ...