On Iyengar-Type Inequalities via Quasi-Convexity and Quasi-Concavity

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the trapezoidal formula are given. Applications for special means are also provided.Comment: This study has been presented at "International Conference on Functional Equations, Geometric Functions and Applications(ICFGA2012)" in 10-12 May 201

An Extension of Multiple Cosmic String Solution: A Proposal

We extend the work done for cosmic strings and show that for a more general class of locally flat metrics the one loop calculation do not introduce any new divergences to the VEV of the energy of a scalar particle. We explicitly perform the calculation for the configuration where we have one cosmic string in the presence of a dipole made out of cosmic strings.Comment: 8 pages, late

New Inequalities for Hermite-Hadamard and Simpson Type and Applications

In this paper, we obtain new bounds for the inequalities of Simpson and Hermite-Hadamard type for functions whose second derivatives absolute values are P-convex. These bounds can be much better than some obtained bounds. Some applications for special means of real numbers are also given

A new generalization of the midpoint formula for n-time differentiable mappings which are convex

In this paper, we establish several new inequalities for n- time differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality

Integral Inequalities for functions whose 3rd derivatives belong to Q(I)

In this paper, we obtain some new inequalities of Hermite-Hadamard type and Simpson type for functions whose third derivatives belong to Godunova-Levin class

Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave

In this paper, we established some new inequalities via s-convex and s-concave functions

Simpson type inequalities for first order differentiable preinvex and prequasiinvex functions

In this paper, we obtain some inequalities for functions whose first derivatives in absolute value are preinvex and prequasiinvex.Comment: arXiv admin note: text overlap with arXiv:1301.3447; and with arXiv:1203.4759 by other author

Inequalities for log-convex functions via three times differentiability

In this paper, we obtain some new integral inequalities like Hermite-Hadamard type for third derivatives absolute value are log-convex. We give some applications to quadrature formula for midpoint error estimate

On some inequalities for different kinds of convexity

In this paper, we obtained some inequalities for \phi_{s}-convex function, \phi-Godunova-Levin function, \phi-P-function and log-\phi-convex function. Finally, we defined the class of \phi-quasi-convex functions and we examined some properties of this class

Quantum Fluctuations for Gravitational Impulsive Waves

Quantum fluctuations for a massless scalar field in the background metric of spherical impulsive gravitational waves through Minkowski and de Sitter spaces are investigated. It is shown that there exist finite fluctuations for de Sitter space.Comment: Submitted to Int. J. Mod. Phys.