• Corpus ID: 118943946

# New integral inequalities via P-convexity

@article{Liu2012NewII,
title={New integral inequalities via P-convexity},
author={Wenjun Liu},
journal={arXiv: Functional Analysis},
year={2012}
}
• Wenjun Liu
• Published 1 February 2012
• Mathematics
• arXiv: Functional Analysis
In this note we extend some new estimates of the integral $\int_a^b (x-a)^p(b-x)^qf(x)dx$ for functions when a power of the absolute value is $P-$convex.
1 Citations
New Integral Inequalities through generalized convex functions
• Mathematics
• 2013
In this paper, we establish various inequalities for some mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values belong to the class

## References

SHOWING 1-10 OF 16 REFERENCES
New integral inequalities via $(\alpha,m)$-convexity and quasi-convexity
In this paper, we establish some new integral inequalities for $(\alpha, m)-$convex functions and quasi-convex functions, respectively. Our results in special cases recapture known results.
In this paper we establish some new inequalities of Hadamard's type for quasi-convex functions The results obtained include earlier known results in existing literature as special cases of our
ON QUASI CONVEX FUNCTIONS AND HADAMARD'S INEQUALITY
• Mathematics
• 2008
In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, Jquasi-convex functions, Wright-convex functions and
Some estimates on the Hermite-Hadamard inequality through quasi-convex functions
In this paper we establish some estimates of the right hand side of a HermiteHadamard type inequality in which some quasi-convex functions are involved. We also point out some applications of our
ON GENERALIZATIONS OF THE HADAMARD INEQUALITY FOR (ALPHA, M)-CONVEX FUNCTIONS
• Mathematics
• 2012
In this paper we establish several Hadamard-type integral inequalities for ( ;m ) convex functions.
On Hadamard-Type Inequalities Involving Several Kinds of Convexity
• Mathematics
• 2010
We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functions but also obtain some new Hadamard-type inequalities for log-convex -convex, and -convex
ON SOME NEW INEQUALITIES OF HADAMARD TYPE INVOLVING h-CONVEX FUNCTIONS
In this paper, we establish some inequalities of Hadamard type for h−convex functions.
Inequalities of Hermite-Hadamard's Type for Functions Whose Derivatives Absolute Values are Quasi-Convex
• Mathematics
• 2009
In this paper, some inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are quasi-convex, are given. Some error estimates for the midpoint formula are also
New Inequalities for Hermite-Hadamard and Simpson Type and Applications
• Mathematics
• 2011
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 HADAMARD‐TYPE INEQUALITIES FOR COORDINATED P‐CONVEX FUNCTIONS AND GODUNOVA‐LEVIN FUNCTIONS
• Mathematics
• 2010
In this paper we established new Hadamard‐type inequalities for functions that co‐ordinated Godunova‐Levin functions and co‐ordinated P‐convex functions, therefore we proved a new inequality