In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...

In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...

(Q1). = Q3, (Q2)w = -(Qi + Q2)/V/2, (Q3)D = (Q2 Q1)//2, (Q4)w = Q4. There are similar relations between the Wigner co-ordinates and our co-ordinates of Fig. 4, d. Wigner states that if the number of particles is a power of 2 and the masses are equal, there is a co-ordinate system of high symmetry in which all particles are treated equally. Unfortunately the form of the potential energy in the c...

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.

the aim of this paper is to prove some inequalities for p-valent meromorphic functions in thepunctured unit disk δ* and find important corollaries.

The lower limb sidestepping kinematics of 20 elite female athletes were calculated using: 1) an established direct kinematic (DK) model (criterion) and, 2) two inverse kinematic (IK) models; one with and one without participant-specific joint co-ordinates prescribed during model preparation. The aim of this research was to determine whether prescribing joint co-ordinates influences the accuracy...