Volume 4,  Issue 4, 2003

Article 77

NOTES ON QI TYPE INTEGRAL INEQUALITIES

LAZHAR BOUGOFFA

DEPARTMENT OF MATHEMATICS, 
FACULTY OF SCIENCE,
KING KHALID UNIVERSITY, 
P.O.BOX 9004, ABHA,
SAUDI ARABIA.
E-Mail: abogafah@kku.edu.sa

Received 01 July, 2003; Accepted 08 October, 2003.
Communicated by: F. Qi


ABSTRACT.   By utilizing a reversed Hölder inequality and a reversed convolution inequality, some new integral inequalities which originate from an open problem posed in [F. Qi, Several integral inequalities, J. Inequal. Pure Appl. Math. 1(2) (2000), Art. 19. Available online at http://jipam.vu.edu.au/v1n2.html/001_00.html. RGMIA Res. Rep. Coll., 2(7) (1999), Art. 9, 1039-1042. Available online at http://rgmia.vu.edu.au/v2n7.html] are established.
Key words:
Qi type integral inequality, Reversed Hölder inequality, Reversed convolution inequality

2000 Mathematics Subject Classification:
Primary 26D15; Secondary 39B62, 60E15.


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