Sunil K. Sharma

Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions

In the present paper we introduce some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. We study some topological properties and some inclusion relations between these spaces. We also make an effort to study these properties over n-normed spaces.

Ride comfort of a higher speed rail vehicle using a magnetorheological suspension system

In a railway vehicle, vibrations are generated due to the interaction between wheel and track. To evaluate the effect of vibrations on the ride quality and comfort of a passenger vehicle, the Sperlings ride index method is frequently adopted. This paper focuses on the feasibility of improving the ride quality and comfort of railway vehicles using semiactive secondary suspension based on magnetorheological fluid dampers. Equations of vertical, pitch and roll motions of car body and bogies are developed for an existing rail vehicle. Moreover, nonlinear stiffness and damping functions of passive suspension system are extracted from experimental data. In view of improvement in the ride quality and comfort of the rail vehicle, a magnetorheological damper is integrated in the secondary vertical suspension system. Parameters of the magnetorheological damper depend on current, amplitude and frequency of excitations. Three semi-active suspension strategies with magnetorheological damper are analysed at different running speeds and for periodic track irregularity. The performance indices calculated at different semi-active strategies are juxtaposed with the nonlinear passive suspension system. Simulation results establish that magnetorheological damper strategies in the secondary suspension system of railway vehicles reduce the vertical vibrations to a great extent compared to the existing passive system. Moreover, they lead to improved ride quality and passenger comfort.

Difference sequence spaces defined by a sequence of modulus functions

In the present paper we introduce some strongly convergent difference sequence spaces defined by a sequence of modulus functions F = (fk). We also study some topological properties and inclusion rela- tions between these spaces.

Some sequence spaces defined by a Musielak-Orlicz function in n-normed spaces

Abstract In the present paper we introduced a new concept of λ-strong convergence with respect to a Musielak-Orlicz function M = (Mk) in n-normed spaces and examine some properties of the resulting sequence spaces.

Applications of double lacunary sequences to n-norm

Abstract In the present paper we define some classes of double lacunary sequence spaces over n-normed spaces by means of a Musielak- Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relation among the classes are also examined.

Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function

In the present paper we introduce difference paranormed sequence spaces c0(M; ∆ n;p;u;jj ; ;jj ), c(M; ∆ n;p;u;jj ; ;jj ) and l1(M; ∆ n;p;u;jj ; ;jj ) de- fined by a Musielak-Orlicz function M = (Mk) over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces.

Some sequence spaces of Invariant means and lacunary defined by a Musielak-Orlicz function over

Abstract In the present paper we introduce some sequence spaces combining lacunary sequence, invariant means over n-normed spaces defined by Musielak-Orlicz function ℳ= (Mk). We study some topological properties and also prove some inclusion results between these spaces.

n

In this paper, we define some classes of double sequences over

-normed spaces

n

Double sequence spaces over

-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.