Volume 4,  Issue 5, 2003

Article 95

GENERALIZED INEQUALITIES FOR INDEFINITE FORMS

FATHI B. SAIDI

MATHEMATICS DIVISION, 
UNIVERSITY OF SHARJAH,
P. O. BOX 27272, SHARJAH, 
UNITED ARAB EMIRATES.
E-Mail: fsaidi@sharjah.ac.ae

Received 19 February, 2003; Accepted 31 July, 2003.
Communicated by: L. Losonczi

ABSTRACT.   We establish abstract inequalities that give, as particular cases, many previously established Hölder-like inequalities. In addition to unifying the proofs of these inequalities, which, in most cases, tend to be technical and obscure, the proofs of our inequalities are quite simple and basic. Moreover, we show that sharper inequalities can be obtained by applying our results.
Key words:
Inequalities, Holder, Indefinite forms, Reverse Inequalities, Hölder's Inequality, Generalized inequalities.

2000 Mathematics Subject Classification:
Primary 26D15, 26D20.

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