A characterization for the boundedness of geometric mean operator

Applied Mathematics Letters

Volumn 13, Issue 8, 2000, Pages 63-67

  Jain, P ^a   Singh, A P ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

Averaging operator; Geometric mean inequality; Geometric mean operator; Inequalities

Indexed keywords

EID: 0040432874     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00097-5     Document Type: Article

References (5)

1. A.M. Jarrah and A.P. Singh, A limiting case of Hardy's inequality, Indian J. Math. (to appear).
2. G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities, University Press, Cambridge, (1964).
3. L. Pick and B. Opic, On the geometric mean operator, J. Math. Anal. Appl. 183 (3), 652-662, (1994).
4. B. Opic and A. Kufner, Hardy type inequalities, In Pitman Research Notes in Mathematics Series, Volume 211, Longman Scientific and Technical, Harlow, (1990).
5. K. Knopp, Über Reihen mit positiven Gliedern, J. London Math. Soc. 3, 205-211, (1928).