In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2013 ( 2013), p. 1-5
Kurzfassung:
We give the greatest values r 1 , r 2 and the least values s 1 , s 2 in (1/2, 1) such that the double inequalities C ( r 1 a + ( 1 - r 1 ) b , r 1 b + ( 1 - r 1 ) a ) 〈 α A ( a , b ) + ( 1 - α ) T ( a , b ) 〈 C ( s 1 a + ( 1 - s 1 ) b , s 1 b + ( 1 - s 1 ) a ) and C ( r 2 a + ( 1 - r 2 ) b , r 2 b + ( 1 - r 2 ) a ) 〈 α A ( a , b ) + ( 1 - α ) M ( a , b ) 〈 C ( s 2 a + ( 1 - s 2 ) b , s 2 b + ( 1 - s 2 ) a ) hold for any α ∈ ( 0,1 ) and all a , b 〉 0 with a ≠ b , where A ( a , b ) , M ( a , b ) , C ( a , b ), and T ( a , b ) are the arithmetic, Neuman-Sándor, contraharmonic, and second Seiffert means of a and b , respectively.
Materialart:
Online-Ressource
ISSN:
1085-3375
,
1687-0409
Sprache:
Englisch
Verlag:
Hindawi Limited
Publikationsdatum:
2013
ZDB Id:
2064801-7
SSG:
17,1
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