Generalized Abstracted Mean Values

53 citations recorded by the source corpus.

Citations in the corpus

Some inequalities of Hermite-Hadamard type for GA-Convex functions with applications to means (2013, unknown): “For more information on means, please refer to [3, 12, 13, 15] and a number of references therein.”
Logarithmic convexity of extended mean values (2001, unknown): “Recently, the concepts of mean values have been generalized by the author in [9]–[12].”
Bounds for the Ratio of Two Gamma Functions (2009, unknown): “alized logarithmic mean Lp(a,b) of order pis increasing in pfor a6= b. Therefore, inequalities G(a,b) <L(a,b) <I(a,b) <A(a,b) (1.11) are valid for a > 0 and b > 0 with a 6= b. See also [45, 46, 47]. Moreover, the generalized logarithmic mean Lp(a,b) is a special case of E(r,s;x,y) deﬁ”
The Best Bounds in Gautschi-Kershaw Inequalities (2006, unknown): “In the article [ 11 ] , using some monotonicityresults and inequalities of the generalized weighted mean values with two parameters in [ 5, 8, 9, 19 ] , it was verified thatthefunctions (cid:7) Γ ( s ) (cid:21) Γ ( r ) (cid:10) 1 / ( s − r ) , (cid:7) Γ ( s , x ) (cid:21) Γ ( r , x ) (cid:10) 1 / (…”
NOTES ON THE SCHUR-CONVEXITY OF THE EXTENDED MEAN VALUES (2005, unknown): “The generalized weighted mean of positive sequence a = ( a 1 , · · · , a n ) was deﬁned in [10] as follows.”