In this paper we introduce the growth rate of χ2 defined by modulus function and study general properties of these spaces and also establish some inclusion results and duals among them..

We introduce the vector-valued sequence spaces w∞ Δ, F,Q, p, u , w1 Δ, F,Q, p, u , and w0 Δ, F,Q, p, u , S q u and S q 0u, using a sequence of modulus functions and the multiplier sequence u uk of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly Δuq-Cesàro summable with respect to the modulus function f then it is ...

In this paper we define the Cesàro χ2 sequence space Cesp “ χf ” defined by a modulus and exhibit some general properties of the space.

In this paper we introduce the sequence spaces χM (p, q, u), using an modulus function M and defined over a semi normed space (X, q), semi normed by q. We study some properties of these sequence spaces and obtain some inclusion relations.

We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces Lω, 1 < p <∞, with weights ω satisfying the Muckenhoupt’s Ap condition. Also, a realization result and equivalence between modulus of smoothness and the Peetre K-functional are proved in Lω for 1 < p <∞ and ω ∈ Ap.

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.

in this work we simulated the representative volume element (rve) of carbon nanotube (cnt) which is surrounded by high temperature superconductor (ybco) by using ansys finite element software. first we considered perfect model (for ybco and cnt) and investigated the effect of radius, length, and the number of nanotube in young’s modulus of the ybco by applying force on rve. then, a third region...

This paper presents a stochastic finite element method to calculate the variation of eigenvalues and eigenvectors functionally graded beams. The modulus material is assumed have spatial uncertainty as one-dimensional random field. formulation for beam due randomness elastic given using first-order perturbation approach. approach was validated with Monte Carlo simulation in previous studies spec...

the rheological properties of four different kuwaiti crude oils in the presence of polyacrylamide (paa) were investigated. paa was varied at three different concentrations of 25, 50, and 75 ppm to study the viscoelastic properties in the untreated samples. four different temperatures (25, 30, 35, and 40 °c) were used to evaluate different viscoelastic parameters of the treated and untreated kuw...

The Stiffness modulus is one of the necessary inputs in mechanistic-empirical pavement design and Quality Assurance/Quality Control (Q Q A C ) of pavement layers construction. The use of Portable Falling Weight Deflectometer (PFWD) for measuring the stiffness modulus of unbound pavement layers is increasing worldwide. The modulus can also be...