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Hermite–Hadamard type integral inequalities for geometric-arithmetically s-convex functions
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Ye Shuang
Published/Copyright:
June 1, 2013
Abstract
In the paper, the authors introduce a notion “geometric-arithmetically s-convex function”, establish some inequalities of Hermite–Hadamard type for geometric-arithmetically s-convex functions, and apply these inequalities to construct inequalities for special means.
Keywords: Integral inequality; Hermite-Hadamard type integral inequality; geometric-arithmetically s-convex function; Hölder inequality
Published Online: 2013-06
Published in Print: 2013-06
© by Oldenbourg Wissenschaftsverlag, München, Germany
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- Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains
- Hypergeometric summation representations of the Stieltjes constants
- Meromorphic functions whose certain differential polynomials share a small function with finite weight
- Convolutions of slanted half-plane harmonic mappings
- Meromorphic functions that share one small function DM with their first derivative
- A product theorem for the Euler and the Natarajan methods of summability
- Hermite–Hadamard type integral inequalities for geometric-arithmetically s-convex functions
Keywords for this article
Integral inequality;
Hermite-Hadamard type integral inequality;
geometric-arithmetically s-convex function;
Hölder inequality
Articles in the same Issue
- Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains
- Hypergeometric summation representations of the Stieltjes constants
- Meromorphic functions whose certain differential polynomials share a small function with finite weight
- Convolutions of slanted half-plane harmonic mappings
- Meromorphic functions that share one small function DM with their first derivative
- A product theorem for the Euler and the Natarajan methods of summability
- Hermite–Hadamard type integral inequalities for geometric-arithmetically s-convex functions
