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Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity
-
Muhammad Amer Latif
and
Sever Silvestru Dragomir
Published/Copyright:
January 7, 2016
Abstract
In this paper, we establish a new integral identity for n-times differentiable functions defined on an invex subset of ℝ. Hermite–Hadamard type integral inequalities for n-times differentiable preinvex functions are then established by using this identity and Hölder's inequality.
Received: 2014-3-3
Revised: 2014-4-29
Accepted: 2014-6-9
Published Online: 2016-1-7
Published in Print: 2016-3-1
© 2016 by De Gruyter
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Keywords for this article
Hermite–Hadamard's inequality;
invex set;
preinvex function;
Hölder's
integral inequality
Articles in the same Issue
- Frontmatter
- The annihilating-ideal graph of a lattice
- On derivations and commutativity of prime rings with involution
- On the traces of certain classes of permuting mappings in rings
- Measurability properties of certain paradoxical subsets of the real line
- Some classical Tauberian theorems for (C,1,1,1) summable triple sequences
- Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces
- Irrationality measures for almost periodic continued fractions
- Elementary volume and measurability properties of additive functions
- On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
- Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity
- Nonlinear iterative algorithms for quasi contraction mapping in modular space
- n-dimensional quintic and sextic functional equations and their stabilities in Felbin type spaces
- Some remarks on quasi-Frobenius rings
