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ISSN 1449-5910  


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12: Paper Source PDF document

Paper's Title:

Reverse HŲlder and Minkowski type integral inequalities for n functions


Panagiotis T. Krasopoulos and Lazhar Bougoffa

Department of Informatics, KEAO,
Electronic National Social Security Fund,
12 Patision St., 10677, Athens,

Department of Mathematics,
Faculty of Science, Imam Mohammad Ibn Saud Islamic University,
P.O. Box 90950, Riyadh 11623,
Saudi Arabia.


We present and prove new reverse HŲlder and Minkowski type integral inequalities for n functions. We compare our results with other known results from the relative literature in order to test their performance. In this respect, our theorems can be viewed as generalizations of some already known integral inequalities.

7: Paper Source PDF document

Paper's Title:

Some Remarks on a Result of Bougoffa


James A. Oguntuase, Lars-Erik Persson and Josip E. Pečarič

Department of Mathematics,University of Agriculture,
 P M B 2240, Abeokuta, Nigeria

Department of Mathematics, LuleŚ University of Technology,
SE-971 87, LuleŚ , Sweden

Faculty of Textile Technology, University of Zagreb,
Pierottijeva 6, 10000 Zagreb, Croatia,,



Some new generalizations of the result of L. Bougoffa [J. Inequal. Pure Appl. Math. 7 (2) (2006), Art. 60] are derived and discussed.

1: Paper Source PDF document

Paper's Title:

Weak Solution for Hyperbolic Equations with a Non-Local Condition


Lazhar Bougoffa

King Khalid University, Faculty of Science, Department of Mathematics,
P.O.Box 9004, Abha, Saudi Arabia



In this paper, we study hyperbolic equations with a non-local condition. We prove the existence and uniqueness of weak solutions, using energy inequality and the density of the range of the operator generated by the problem.

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