Some matrix inequalities of London type

Bertram Mond; Josip E. Pečarić

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1996)

  • Volume: 35, Issue: 1, page 137-148
  • ISSN: 0231-9721

How to cite

top

Mond, Bertram, and Pečarić, Josip E.. "Some matrix inequalities of London type." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 35.1 (1996): 137-148. <http://eudml.org/doc/23620>.

@article{Mond1996,
author = {Mond, Bertram, Pečarić, Josip E.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {matrix inequalities; matrix functions; Hölder’s inequality; convex functions},
language = {eng},
number = {1},
pages = {137-148},
publisher = {Palacký University Olomouc},
title = {Some matrix inequalities of London type},
url = {http://eudml.org/doc/23620},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Mond, Bertram
AU - Pečarić, Josip E.
TI - Some matrix inequalities of London type
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1996
PB - Palacký University Olomouc
VL - 35
IS - 1
SP - 137
EP - 148
LA - eng
KW - matrix inequalities; matrix functions; Hölder’s inequality; convex functions
UR - http://eudml.org/doc/23620
ER -

References

top
  1. London D., Inequalities in quadratic forms, Duke Math. J. 33 (1966), 511-522. (1966) Zbl0166.03901MR0204435
  2. Mond B., Pečarić J. E., Classical Inequalities for Matrix Functions, Utilitas Math. 46 (1994), 155-166. (1994) Zbl0823.15018MR1301304
  3. Mond B., Pečarić J. E., Generalization of a matrix inequality of Ky Fan, J. Math. Anal. Appl. 190 (1995), 244-247. (190) MR1314116
  4. Marcus M., Minc H., A Survey of Matrix Theory and Inequalities, Allyn and Bacon, Boston, 1964. (1964) MR0162808
  5. Bellman R., Introduction to Matrix Analysis, McGraw-Hill, New York, 1960. (1960) Zbl0124.01001MR0122820
  6. Vasić P. M., Pečarić J. E., On the Jensen inequality for monotone functions, I and II, An. Univ. Timisoara Ser. St. Mat. 17, 1 (1979), 95-104; An. Univ. Timisoara Ser. St. Mat. 18, 1 (1980), 95-104. (1979) MR0576070
  7. Beesack P. R., Pečarić J. E., On Jessen’s inequality for convex functions, J. Math. Anal. Appl. 110 (1985), 536-552. (1985) Zbl0591.26009MR0805275
  8. Shisha O., Mond B., Bounds on Differences of Means, In: Inequalities, Academic Press Inc., 1967, pp. 293-308. (1967) MR0241591
  9. Zhuang, Y-D., On Inverses of the Hölder Inequality, J. Math. Anal. Appl. 161 (1991), 566-575. (1991) Zbl0752.26009MR1132127
  10. Mond B., Pečarić J. E., Remark on a recent converse of Hölder’s inequality, J. Math. Anal. Appl. 181 (1994), 280-281. (1994) Zbl0803.26008MR1257970
  11. Mitrinovic D. S., Analytic Inequalities, Springer Verlag, Berlin-Heidelberg-New York, 1970. (1970) Zbl0199.38101MR0274686

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.