Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means
Abstract In the article, we prove that the double inequality α L ( a , b ) + ( 1 − α ) T ( a , b ) < NS ( a , b ) < β L ( a , b ) + ( 1 − β ) T ( a , b ) $$ \alpha L(a,b)+(1-\alpha)T(a,b)< \mathit{NS}(a,b)< \beta L(a,b)+(1-\beta)T(a,b) $$ holds for a , b > 0 $a,b>0$ with a ≠ b $a\n...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1516-7 |