Some Improvements of the Hermite–Hadamard Integral Inequality
oleh: Slavko Simić, Bandar Bin-Mohsin
| Format: | Article |
|---|---|
| Diterbitkan: | MDPI AG 2020-01-01 |
Deskripsi
We propose several improvements of the Hermite−Hadamard inequality in the form of linear combination of its end-points and establish best possible constants. Improvements of a second order for the class <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="sans-serif">Φ</mi> <mo>(</mo> <mi>I</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> with applications in Analysis and Theory of Means are also given.