Two inequalities for the complete symmetric functions
1978 ◽
Vol 84
(1)
◽
pp. 1-3
◽
Keyword(s):
In (l) Hunter proved that the complete symmetric functions of even order are positive definite by obtaining the inequalitywhere ht denotes the complete symmetric function of order t. In this note we show that the inequality can be strengthened, which, in turn, enables theorem 2 of (l) to be sharpened. We also obtain a special case of an inequality conjectured by McLeod(2).
1969 ◽
Vol 12
(5)
◽
pp. 615-623
◽
1977 ◽
Vol 82
(2)
◽
pp. 255-258
◽
1978 ◽
Vol 21
(4)
◽
pp. 503-504
◽
Keyword(s):
Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
1959 ◽
Vol 11
◽
pp. 383-396
◽
1972 ◽
Vol 15
(1)
◽
pp. 133-135
◽
1927 ◽
Vol 1
(1)
◽
pp. 55-61
◽
Keyword(s):
1882 ◽
Vol 11
◽
pp. 409-418
◽
1943 ◽
Vol 61
(3)
◽
pp. 300-310
◽