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Generalizations of integral inequalities for functions whose second derivatives are convex and $m$-convex
- Source :
- Miskolc Mathematical Notes. 13:441
- Publication Year :
- 2012
- Publisher :
- Mathematical Notes, 2012.
-
Abstract
- In this paper, we establish some new integral inequalities for convex and m-convex functions by using a new kernel. The analysis used in the proofs is fairly elementary and based on the classical inequalities. We also give some comparisons and applications to special means for our results.
- Subjects :
- Simpson's inequality
Convex analysis
Convex hull
convex functions
Numerical Analysis
Pure mathematics
Control and Optimization
Algebra and Number Theory
m-convex functions
MathematicsofComputing_NUMERICALANALYSIS
Proper convex function
Convex set
Subderivative
Combinatorics
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Convex polytope
Discrete Mathematics and Combinatorics
Convex combination
Absolutely convex set
power mean inequality
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....5867a8f4bbe079f7773a1e73074a1631