On an Open Problem Regarding an Integral Inequality

Volume 4, Issue 2, 2003

Article 31

ON AN OPEN PROBLEM REGARDING AN INTEGRAL INEQUALITY

DEPARTMENT OF MATHEMATICS
FACULTY OF SCIENCES
UNIVERSITY OF ANNABA
P. O. BOX 12, ANNABA 23000\
ALGERIA.
E-Mail: mazouzi.s@voila.fr

DEPARTMENT OF APPLIED MATHEMATICS AND INFORMATICS
JIAOZUO INSTITUTE OF TECHNOLOGY
JIAOZUO CITY, HENAN 454000
THE PEOPLE'S REUPUBLIC OF CHINA.
E-Mail: qifeng@jzit.edu.cn

Received 27 February, 2003; Accepted 7 March, 2003
Communicated by: J. Sandor

ABSTRACT. In the article, a functional inequality in abstract spaces is established, which gives a new affirmative answer to an open problem posed by Feng Qi in [9]. Moreover, some integral inequalities and a discrete inequality involving sums are deduced.

[9] FENG QI, Several integral inequalities, J. Inequal. Pure Appl. Math., 1(2) (2000), Art.19.

Key words:
Functional inequality, Integral inequality, Jessen's inequality.

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

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