• 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
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.
Quasi-convex Functions And Hadamard's Inequality
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
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
In this paper we establish several Hadamard-type integral inequalities for ( ;m ) convex functions.
On Hadamard-Type Inequalities Involving Several Kinds of Convexity
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
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
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
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
...
1
2
...