On Carleman and Knopp's inequalities

Journal of Approximation Theory

Volumn 117, Issue 1, 2002, Pages 140-151

  Kaijser, Sten ^a   Persson, Lars Erik ^b   Öberg, Anders ^c  

^a UPPSALA UNIVERSITY   (Sweden)

^b LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

^c UNIVERSITY OF GÄVLE   (Sweden)

Author keywords

Carleman's inequality; Geometric means; Historical remarks; Inequalities; Knopp's inequality

Indexed keywords

EID: 0036634548     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2002.3684     Document Type: Article

References (22)

1. A refinement of Carleman's inequality
2. Inequalities complementary to Hardy
3. Some inequalities involving the constant e and an application to Carleman's inequality
4. "Means and Their Inequalities"
5. e Congres des Mathematiciens"
6. A proof of an inequality of Carleman
7. Inequalities related to Hardy's and Heinig's
8. Notes on some points in the integral calculus, LX
9. Prolegomena to a chapter on inequalities
10. Some extensions of Hardy's inequality
11. "Applied and Computational Complex Analysis"
12. From Hardy to Carleman and general mean-type inequalities
13. Carleman-Knopp type inequalities via Hardy inequalities
14. Über Reihen mit positive Gliedern
15. Inequalities related to those of Cochran and Lee
16. Weighted inequalities for geometric means
17. Carleman's inequality: History and new generalizations
18. Weighted integral inequalities with the geometric mean operator
19. On geometric mean operator
20. A strengthened Carleman inequality
21. Recurrent inequalities