On minkowski and hardy integral inequalities

Journal of Inequalities in Pure and Applied Mathematics

Volumn 7, Issue 2, 2006, Pages 1-3

  Bougoffa, Lazhar ^a  

^a AL IMAM MOHAMMAD IBN SAUD ISLAMIC UNIVERSITY IMSIU   (Saudi Arabia)

Author keywords

Hardy's inequality; Minkowski's inequality

Indexed keywords

EID: 33744730688     PISSN: 14435756     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. M. ABRAMOWITZ AND LA. STEGUN, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 11, 1972.
2. T.A.A. BROADBENT, A proof of Hardy's convergence theorem, J. London Math. Soc., 3 (1928), 232-243.
3. I.S. GRADSHTEYN AND I.M. RYZHIK, Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 1092 and 1099, 2000.
4. G.H. HARDY, J.E. LITTLEWOOD, AND G. PÓLYA, "Minkowski's' Inequality" and "Minkowski's Inequality for Integrals", §2.11, 5.7, and 6.13 in Inequalities, 2nd ed. Cambridge, England: Cambridge University Press, pp. 30-32, 123, and 146-150, 1988.
5. G.H. HARDY, Note on a theorem of Hubert, Math. Z., 6 (1920), 314-317.
6. S.G. KRANTZ, Jensen's Inequality, §9.1.3 in Handbook of Complex Variables, Boston, MA: Birkhäuser, p. 118, 1999.
7. J.L.W.V. JENSEN, Sur les fonctions convexes et les iné galités entre les valeurs moyennes, Acta Math., 30 (1906), 175-193.