• Analysis of civil engineering infrastructure in Norway with solutions based on structural health monitoring and artificial intelligence 

      Tangrand, Kristoffer Meyer; Singh, Harpal (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-05-19)
      Ageing civil infrastructures such as bridges and building causes many consequences from practical and economical point of view. Especially in northern Norway, the impact of extreme arctic conditions is intense on civil engineering infrastructures (see \cite{Singh:2022:hologaland_Bridge}). With the increased loading due to the prosperous seafood industry and increased cargo activity is putting ...
    • A note on contributions concerning nonseparable spaces with respect to signal processing within Bayesian frameworks 

      Samko, Natasha Gabatsuyevna; Singh, Harpal (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-07-17)
      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 ...
    • Recent trends in operation modal analysis techniques and its application on a steel truss bridge 

      Singh, Harpal; Grip, Niklas (Journal article; Tidsskriftartikkel; Peer reviewed, 2019)
      Aging of infrastructure causes many problems with great consequences, essentially economical. Operation modal analysis (OMA) is one of the most crucial techniques used for dynamic analysis of civil engineering structures (e.g. bridges, dams or tunnels). OMA uses various time and frequency domain methods to obtain the modal parameters. The analysis of OMA techniques can be used to detect, locate and ...
    • Shell-Based Finite Element Modeling of Herøysund Bridge in Norway 

      Azad, Zeeshan; Singh, Harpal; Nicoletti, Vanni (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-12-23)
      This paper thoroughly examines the application of the Finite Element Method (FEM) to the numerical modal analysis of Herøysund Bridge, focusing on the theoretical backdrop, the construction process, and FEM techniques. This work examines the specific applied FEM approaches and their advantages and disadvantages. This Herøysund Bridge analysis employs a two-pronged strategy consisting of a 3D–solid ...
    • Some New Fourier and Jackson–Nikol’skii Type Inequalities in Unbounded Orthonormal Systems 

      Singh, Harpal; Persson, Lars-Erik; Akishev, Gabdolla (Journal article; Tidsskriftartikkel; Peer reviewed, 2021-09-16)
      We consider the generalized Lorentz space L_ψ,q defined via a continuous and concave function ψ and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol’skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications ...
    • Some new mathematical and engineering results connected to structural problems 

      Singh, Harpal (Doctoral thesis; Doktorgradsavhandling, 2022-04-08)
      <p>The research in this PhD thesis is focused on some problems of general interest in both applied mathematics and engineering sciences. It contains new results, which can be directly used for solving some important structural problems in engineering sciences, but which are also of interest in pure mathematics. The main body of this PhD thesis consists of six papers (Papers A – F). <p>In Paper A ...
    • Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh–Fourier series 

      Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-03-07)
      We prove that there exists a martingale f ∈ H<sub>p</sub> such that the subsequence {L<sub>2n</sub f} of Nörlund logarithmic means with respect to the Walsh system are not bounded from the martingale Hardy spaces H<sub>p</sub> to the space weak – L<sub>p</sub> for 0 < p < 1. We also prove that for any f ∈ L<sub>p</sub>, p ≥ 1, L<sub>2n</sub> f converge to f at any Lebesgue point x. Moreover, ...
    • Some New Weak (Hp- Lp)-Type Inequality for Weighted Maximal Operators of Partial Sums of Walsh–Fourier Series 

      Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-08-18)
      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 well-known ...