9,775 research outputs found
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
New inequalities of Ostrowski's type for s-convex functions in the second sense with applications
In this paper, we establish some new inequalities of Ostrowski's type for
functions whose derivatives in absolute value are the class of s-convex. Some
applications for special means of real numbers are also provided. Finally, some
error estimates for the midpoint formula are obtained
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