Voir la notice de l'article provenant de la source Cambridge University Press
Lee, Cheng-Shyong. On Some Generalization of Inequalities of Opial, Yang and Shum. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 71-80. doi: 10.4153/CMB-1980-010-2
@article{10_4153_CMB_1980_010_2,
author = {Lee, Cheng-Shyong},
title = {On {Some} {Generalization} of {Inequalities} of {Opial,} {Yang} and {Shum}},
journal = {Canadian mathematical bulletin},
pages = {71--80},
year = {1980},
volume = {23},
number = {1},
doi = {10.4153/CMB-1980-010-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-010-2/}
}
TY - JOUR AU - Lee, Cheng-Shyong TI - On Some Generalization of Inequalities of Opial, Yang and Shum JO - Canadian mathematical bulletin PY - 1980 SP - 71 EP - 80 VL - 23 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-010-2/ DO - 10.4153/CMB-1980-010-2 ID - 10_4153_CMB_1980_010_2 ER -
[1] 1. Beckenbach, E. F. and Bellman, R.. Inequalities, 2nd rev. ed; Ergebnisse der mathematik and ihrer Grenzgebiete, Heft 30 Springer-Verlag. N.Y. 1965. Google Scholar
[2] 2. Beesack, P. R., Hardy's inequality and its extensions, Pacific J. Math, 11 (1961), 39-62. Google Scholar
[3] 3. Beesack, P. R., On an integral inequality of Z. Opial, Trans. Amer. Math. Soc. 104 (1962), 470-475. Google Scholar
[4] 4. Beesack, P. R., Integral inequality involving a function and its derivative, Amer. Math. Monthly 78 (1971), 705-741. Google Scholar
[5] 5. Beesack, P. R. and Das, K. M., Extensions of OpiaVs inequality, Pacific J. Math. 26 (1968), 215-232. Google Scholar
[6] 6. Benson, D. C., Inequalities involving integrals of functions and their derivatives, J. Math. Anal. Appl. 17 (1967), 292-308. Google Scholar
[7] 7. Boyd, D. W. and Wong, J. S., An extension of OpiaVs inequality, J. Math. Anal. Appl. 19 (1967), 100-102. Google Scholar
[8] 8. Boyd, D. W., Best constants in inequalities related to OpiaVs inequality, J. Math. Anal. Appl. 25 (1969), 378-387. Google Scholar
[9] 9. Calvert, J., Some generalizations of OpiaVs inequality, Proc. Amer. Math. Soc. 18 (1967), 72-75. Google Scholar
[1] 1. Das, K. M., An inequality similar to OpiaVs inequality, Proc. Amer. Math. Soc. 22 (1969), 258-261. Google Scholar
[11] 11. Fink, A. M. and Jodict, Max Jr., A generalization of the Arithmetic-Geometric Mean's Inequality. Proc. Amer. Math. Soc. vol. 61 Number 2. 12. 1976. Google Scholar
[12] 12. Hardy, G. H., Littlewood, J. E. and Polya, G., Inequalities, 2nd. ed. Cambridge Univ. Press. N.Y. 1952. Google Scholar
[1] 1. Hua, L. K., On an inequality of Opial, Sci. Sinica 14 (1965), 789-790. Google Scholar
[14] 14. Lee, C.-M., On a discrete analogue of inequalities of Opial and Yang. Canad. Math. Bull. 11 (1968), 73-77. Google Scholar
[15] 15. Levinson, N., On an inequality of Opial and Beesack, Proc. Amer. Math. Soc. 15 (1964), 565-566. Google Scholar
[16] 16. Mallows, C. L., An even simpler proof of OpiaVs inequality, Proc. Amer. Math. Soc. 16 (1965), 173. Google Scholar
[17] 17. Maroni, P. M., Sur Vinégalité d'opial -Beesack, C. R. Acad. Sci. Paris S?r. A264 (1967), A62-A64. Google Scholar
[18] 18. Mitrinovié, D. S. and Vasić, P. M., Analytic inequalities, Die, Grandlehren der Math. Wissenschaften, Band 165 Springer-Verlag, Berlin, 1970. Google Scholar
[19] 19. Olech, C., A simple proof of a certain result of Z. Opial, Ann. Polon, Math. 8 (1960), 61-63. Google Scholar
[2] 2. Opial, Z., Sur une inégalité, Ann. Polon, Math. 8 (1960), 29-32. Google Scholar
[21] 21. Pederson, R. N., On an inequality of Opial, Beesack and Levinson, Proc. Amer. Math. Soc. 16 (1965), 174. Google Scholar
[22] 22. Roydon, H. L., Real Analysis 2nd. the Macmillan Company, N.Y. Collier-Macmillan, Limited, London, 1972. Google Scholar
[23] 23. Shum, D. T., On integral inequalities related to Hardy's, Canad. Math. Bull. 14 (1971), 225-270. Google Scholar
[24] 24. Shum, D. T., A general and sharpened form of OpiaVs inequality, Canad. Math. Bull. vol. 17 (3), (1974), 385-389. Google Scholar
[25] 25. Shum, D. T., On a class of new inequalities, Trans. Amer. Math. Soc. vol. 204 (1975), 299-341. Google Scholar
[26] 26. Wong, J. S. W., A discrete analogue of Opia Vs inequality, Canad. Math. Bull. 10 (1967), 115-118. Google Scholar
[27] 27. Yang, G. S., On a certain result of Z. Opial, Proc. Japan Acad. 42 (1966), 78-83. Google Scholar
Cité par Sources :