Volume 5 (2013), Number 2
Vectorial Error Estimates in Approximating Functions of Selfadjoint Operators in Hilbert Spaces by a Perturbed Taylor’s Like Expansion
Author(s): S.S. DRAGOMIR
Abstract: On utilising the spectral representation of selfadjoint operators in Hilbert spaces, some vectorial error estimates in approximating functions of selfadjoint operators in Hilbert spaces by a perturbed Taylor’s type expansion are given.
DownloadNew Fractional Inequalities of Ostrowski Type
Author(s): ASSIA GUEZANE-LAKOUD and FATIMA AISSAOUI
Abstract: In this work, we establish a new weighted Montgomery identity for Riemann-Liouville fractional integrals. Then using this new fractional Montgomery identity, we obtain some new fractional inequalities of Ostrowski type.
DownloadA Note on Stability Constraints for Asymptotic Stability of the Scalar Equations
Author(s): ÖZLEM AK GÜMÜŞ and NECATI TASKARA
Abstract: We consider the scalar equation of the form . In the case of or , constraints have determined for stability of the scalar equation by using the analytical solution. Thus, we have a practical knowledge about the stability of the scalar equation without the need of a computer programming and stability test.
DownloadHeat Capacity of the Relativistic Electron Gas in a Magnetic Field
Author(s): LAUREAN HOMORODEAN
Abstract: The heat capacity of degenerate and nondegenerate relativistic electron gases in a magnetic field is presented. In both cases, it comprises a term independent of the magnetic induction and a term varying monotonically with the magnetic induction. In the case of the degenerate relativistic electron gas, a third term with an oscillatory dependence on the magnetic induction appears.
DownloadNumerical Solution for Parabolic Equation with Nonlocal Conditions
Author(s): AHCENE MERAD and ABDELFATAH BOUZIANI
Abstract: In this paper, we study a parabolic equation with purely nonlocal (integral) conditions. We present a numerical approximate solution by Laplace transform method. Some experimental numerical results using the proposed numerical procedure are discussed.
DownloadSome Integral Inequalities for Two Kinds of Convexities Via Fractional Integrals
Author(s): MUHAMMAD ASLAM NOOR and MUHAMMAD UZAIR AWAN
Abstract: In this paper, we consider the classes of -convex function of first and second kinds respectively. We derive several new Hermite-Hadamard type of inequalities for these classes via fractional integrals.
DownloadNonuniform Polynomial Trichotomy of Evolution Operators in Banach Spaces
Author(s): MAGDA LUMINIȚA RĂMNEANȚU
Abstract: In this paper we define the notions of nonuniform polynomial trichotomy and polynomial trichotomy and we emphasize connections between these concepts. The approach is motivated by various examples.
DownloadThe Optimality Conditions for the Toll Road Bilevel Programming Problems
Author(s): CHAOFENG SHI and YINGRUI WANG
Abstract: In a general traffic network, Di Wu, Yafeng Yin and Hai Yang (2011) proved that the level of service, represented by the volume-capacity (v/c) ratio, offered by a profit-maximizing private firm on a private toll road is independent of another competitor’s choice of capacity and toll rate for another private toll road. However, the optimality condition for the toll road bilevel programming is not discussed in Di Wu, Yafeng Yin and Hai Yang (2011). In this paper, the Abadie constraint qualifications and KKT conditions for the toll road bilevel programming is proposed and analyzed, which is the base and prerequisite of the main results in Di Wu, Yafeng Yin and Hai Yang (2011).
DownloadOscillation and Asymptotic Behavior of Second Order Nonlinear Neutral Difference Equations of Mixed Arguments
Author(s): E. THANDAPANI and V. BALASUBRAMANIAN
Abstract: In this paper the authors present conditions for the oscillatory and asymptotic behavior of solutions of second order nonlinear neutral difference equations of mixed arguments of the form