Two Theorems on Factorization of Inequalities
Tóm tắt
The factorization of inequalities for infinite numerical series is a new research field. A monograph giving a systematic treatment of this subject is due to BENNETT. Here two theorems of this type are proved. Our new results extend previous theorems to the so-called Mulholland functions.
Tài liệu tham khảo
G. Bennett, Factorizing the Classical Inequalities, Memoirs of Amer. Math. Soc., 120(1996), Number 576, 1–130.
G. H. Hardy, J.E. Littlewood and G. P´olya, Inequalities, Cambridge University Press (Cambridge, 1952
L. Leindler, A theorem ofHa rdy-Bennett-type, Acta Math. Hungar., 78(1998), 315–325.
L. Leindler, Two theorems ofHa rdy-Bennett-type, Acta Math. Hungar., 79(1998), 341–350.
L. Leindler, A note on factorization of inequalities, Acta Math. Hungar., 89(2000) (to appear).