Notes on Qi Type Integral Inequalities

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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