The purpose of this article is to establish the equivalence between a K-functional and a modulus of smoothness generated by a Dunkl type operator on the real line.
Open access
Research Article10.9734/BJMCS/2015/19652
By using xed point theorem we studied the mild solution of fractional integro- differential equations with non-local and impulsive conditions, also we studied the sucient conditions of controllability for this system.
Open access
Research Article10.9734/BJMCS/2015/18725
Let∗ be an involution over some ring. In this note∗- skew polynomial rings over commutative rings are studied along with ∗- rigidity and ∗ - Armendariz property. Some interesting applications are demonstrated for uniserial rings.
Open access
Research Article10.9734/BJMCS/2015/18665
In this paper, we consider some available models and then introduce a model which simulates the interaction between ATM protein and DNA damage signal, which motivated biologically. Next we find a Hopf bifurcation for this system. Biologically we find a region for the DNA damage s...
Open access
Research Article10.9734/BJMCS/2015/14435
In recent years, enhancement in wireless and mobile technologies, location based services (LBSs) has become more and more popular. Location based services provide enhanced functionalities, they open up new vulnerabilities that can be exploited to cause security and privacy breach...
Open access
Research Article10.9734/BJMCS/2015/16995
Let A be a 3D symmetric elasticity tensor not necessary isotropic. If μ is an invariant measure on SO(3), then μ is a convex combinaison of the Haar measure. The nearest isotropic elasticity tensor is obtained by integrating the tensor A on the rotation group SO(3). For the numer...
Open access
Research Article10.9734/BJMCS/2015/19480
The main purpose of this paper is to construct a new class of second order differential equation at infinity. To solve the problem, we generate the auxiliary equation via a pre-auxiliary equation and obtain the general solution of it. We express the higher order of the differenti...
Open access
Research Article10.9734/BJMCS/2015/15796
The choice of quantization method and the requirement to achieve a trade-off between compressed image quality and degradation are very crucial in the overall performance of a lossy image compression algorithm. In this paper, uniform and non-uniform scalar quantization schemes of...
Open access
Research Article10.9734/BJMCS/2015/18438
This paper presents a fourth-order nonlinear conjugate gradient method in equality constrained optimization. The idea is to transform the constrained problem into unconstrained type through the Lagrange multipliers scheme. Using four terms of Taylor series development, we approxi...
Open access
Research Article10.9734/BJMCS/2015/18695
This short paper demonstrates a sketch of a generic algorithm that can generate integers written as the sum of N mth positive powers with any N≥2 and m≥1 in two different ways. As it is shown in the paper, such a generic algorithm is NP-hard. One can infer from this result that t...
Open access
Research Article10.9734/BJMCS/2015/17549