We discuss the effects of the δ2 and Lubkin acceleration methods on the partial sums of Fourier Series. We construct continuous, even Hölder continuous functions, for which these acceleration methods fail to give convergence. The constructed functions include some interesting trigonometric series whose properties were investigated by Hardy and Littlewood.

Purpose: Predicting body Center of Mass (COM) acceleration is carried out with more accuracy based on the acceleration of three joints of lower limb compared to only accounting joints of hip and ankle. Given that trunk movement during quite standing is noticeable, calculating trunk acceleration in model might increase prediction accuracy of COM acceleration. Moreover, in previous research studi...

We prove generating function identities producing fast convergent series for the sequences β(2n + 1), β(2n + 2) and β(2n+3), where β is Dirichlet's beta function. In particular, we obtain a new accelerated series for Catalan's constant convergent at a geometric rate with ratio 2 −10 , which can be considered as an analog of Amdeberhan-Zeilberger's series for ζ(3).

Recently, Sidi [Sidi, A. (1995): Acceleration of convergence of (generalized) Fourier series by the d-transformation. Ann. Numer. Math. 2, 381–406] proposed a method for the convergence acceleration of certain orthogonal expansions. The present contribution shows that it is possible to extend the method proposed by Sidi to a wider class of problems by simple means. The extended method is both s...

Car body acceleration is an important factor affecting track safety and ride comfort, which are two primary aspects of railway systems. Though track level is an important source of wagon body acceleration, no quantitative relation between them is available and the aim of this paper is to propose a method to address this issue. To do so, car body acceleration is determined using a 10 DOF simulat...

vibration generated by vehicles during road transport has an important effect on the agricultural products damage process, particularly vegetable and fruit. modulus of elasticity is one of the most important mechanical properties of fruits and its variation can be described as one of the damage criteria during transportation. this research was conducted to evaluate the effects of vibration para...

vibration generated by vehicles during road transport has an important effect on the agricultural products damage process, particularly vegetable and fruit. modulus of elasticity is one of the most important mechanical properties of fruits and its variation can be described as one of the damage criteria during transportation. this research was conducted to evaluate the effects of vibration para...