Gou-sheng Yang
為加拿大西安大略省大學 (University of Western Ontario) 博士，專長分析中不等式的研究。曾任淡江大學數學系系主任。
至2002年的研究成果
A.期刊論文
1. 楊國勝; 黃大炎, Some Refinements of Hardy's and Copson's Inequality for Convex Function.
Tamkang journal of mathematics, 32(1), 33-37, (2001).
2. 楊國勝; 朱曉芬, A Note On Simpson's Inequality for Function of Bounded Variation. Tamsui
Oxford journal of mathematical sciences, 16, no.2, 229-240, (2000).
3. 楊國勝; 曾貴麟, On Certain Integral Inequatities Related to Hermite-Hadamard inequalities.
Journal of mathematical analysis and applications, 239, 180-187, (1999).
4. Yang, Gou-sheng; Fang, Jen-chun, Some generalizations of Carlson's nequalities. Indian
journal of pure and applied mathematics(SCI), 30, no.10, 1031-1040, (1999).
5. Yang, Gou-sheng; Hwang, Dah-yan, Generalizations of some reverse integral inequalities.
Journal of Mathematical Analysis and Applications(SCI), 233, no.1, 193-204, (1999).
6. Yang, Gou-sheng; Hong, Min-chung, A note on Hadamard's inequality. Tamkang journal of
mathematics, 28, no.1, 33-37, (1997).
7. Yang, Gou-sheng; Wang, Chung-shin, Some refinements of Hadamard's inequalities. Tamkang
Journal of Mathematics, 28, no.2, 87-92, (1997).
8. Yang, Kou-sheng; Wu, Huey-lan, A refinement of Hadamard's inequality for isotonic linear
functionals. Tamkang journal of mathematics, 27, no.4, 327-336, (1996).
9. Yang, Kou-sheng; Wang, Chung-shin, Refinements on an inequality of Ky Fan. Journal of
mathematical analysis and applications(SCI), 201, no.3, 955-965, (1996).
10. Dragomir, S. S.; Yang, Gou-sheng, On Hua's inequality in real inner product spaces. Tamkang
journal of mathematics, 27, no.3, 227-232, (1996).
11. Yang, Gou-sheng; Han, Bae-kewi, A note on Hua's inequality for complex number. Tamkang
journal of mathematics, 27, no.1, 99-102, (1996).
12.Yang, Gou-sheng; Gau, Shyh-liang, A note on classical Hilbert inequality. Tamkang journal of
mathematics, 26, no.1, 81-96, (1995).
13. Yang, Gou-sheng; Leu, Jyh-wen, Effective estimates for boundary value problems. Tamkang
journal of mathematics, 25, no.2, 167-177, (1994).
14. Yang, Gou-sheng; Jean, Shou-ping, Inequalities of Hardy type in two variables. Tamkang
journal of mathematics, 24, no.3, 341-354, (1993).
15. Yang, Gou-sheng; You, Cheng-dar, A note on discrete Opial's nequality. Tamkang journal of
mathematics, 23, no.1, 67-78, (1992).
16. Yang, Gou-sheng; Teng, Kai-yu, A generalization of inverse Schwarz's inequality. Tamkang
journal of mathematics, 23, no.2, 117-121, (1992).
17. Yang, Gou-sheng; Huang, S. F., On finite difference inequality of Lyapunov type. Tamkang
journal of mathematics, 23, no.3, 213-221, (1992).
18. Yang, Gou-sheng; 林裕仁, On Companion Inequalities Related to Heinig's. Tamkang Journal of
Mathematics, 22, no.4, 313-321, (1991).
19. Yang, Gou-sheng; 黃大炎, Note on discrete Hardy's inequality. Tamkang journal of
mathematics, 21, 333-336, (1990).
20. Hwang, Tian-show; Yang, Gou-sheng, On integral inequalities related to opial's inequality.
Tamkang journal of mathematics, (21), no.2, 177-183, (1990).
21. Yang, Gou-sheng; Lin, Shwu-huey, On discrete analaque of lyapunov inequality. Tamkang
journal of mathematics, (20), no.2, 169-186, (1989).
22. Yang, Gou-Shengb 關於算術及幾何平均數之差的上下限之研究. (1988).
23. Wang, Gou-sheng; Yang, Gou-sheng, Inequalities related to the arithmetic and geometric
means. Tamkang journal of mathematics, 19, no.2, 79-86, (1988).
24. Yang, Gou-sheng, On generalization of hardy's inequality. 11, (1987).
25. Yang, Gou-Sheng, A note on an inequality similar to opial inequlity. Tamkang Journal of
mathematics, 18, no.4, 101-104, (1987).
26. 李金俊; 楊國勝, On generalization of Hardy's inequality. Tamkang Journal of mathematics, 17,
no.4, 109-119, (1986).
27. Yang, Gou-sheng; 林進財, On some new opial-type inequalities in two variables. Tamkang
Journal of mathematics, 17, no.2, 31-36, (1986).
28. Yang, Gou-sheng, Hardy, on hardy, opial and wirtinger inequalities. 9, (1986).
29. Yang, Gou-sheng, On some integrodifferential inegualities. Tamkang Journal of
mathematics, 16, no.4, 123-129, (1985).
30. Yang, Gou-sheng; 黃柳男, Combination convexity inequality. Tamkang journal of
mathematics, 16, no.1, 109-115, (1985).
31. 林進財; 楊國勝, A generalized opial's inequality in two variables. Tamkang journal of
mathematics, 15, no.1, 115-122, (1984).
32. Yang, Gou-sheng, A note on some integrodifferential inequalities. Soochow journal of
mathematics, 9, 231-236, (1983).
33. Yang, Gou-sheng, A note on a theorem of Greene. Tamkang journal of mathematics, 14, no.2,
211-214, (1983).
34. Yang, Gou-sheng; Hu, T, A note on: generalized iteration process. Bulletin of the Korean
mathematical society, 20, no.2, 69-70, (1983).
35. Yang, Gou-sheng, Inequality of Opial-type in two variables. Tamkang journal of mathematics,
13, no.2, 255-259, (1982).
36. Yang, Gou-sheng, A note on an integrodifferential inequality. Tamkang journal of mathematics,
12, no.2, 257-264, (1981).
37. Wu, Jang I. ; Yang, Gou-sheng, On discrete Gronwall's inequalities. Tamkang journal of
mathematics, 12, no.2, 161-170, (1981).
38. Wu, Jang I. ;Yang, Gou-Sheng, Euler and Borel-type summability of independent identically
distributed random variables. Soochow journal of mathematical and natural sciences, 2,
63-68, (1976).
39. Yang, Gou-sheng, A sufficient condition for Morel-type methods of summability. Soochow
journal of mathematical and natural sciences, 1, 67-71, (1975).
40. Yang, Gou-sheng, A generalized lototsky summability method. Tamkang journal of mathematics,
5, no.1, 139-143, (1974).
41. Chang, Kuo-tsai;Yang, Gou-sheng, On a condensation test of convergence. Tamkang journal of
mathematics, 4, no.2, 109-115, (1973).
42. Yang, Gou-sheng, On the relation between the Abel-type and Borel-type methods of summability.
(1971).
43. Shawyer, B. L. R.; Yang, Gou-sheng, Tauberian relations between the Abel-type and Borel-type
methods of sommability. Manuscript mathematics, 5, 341-357, (1971).
44. Shawyer, B. L. R.;Yang, Gou-sheng, On the relations between the Abel-type and Borel-type
methods of summability. Proceedings of the American mathematical society, 26, no.2,
323-328, (1970).
45. Yang, Gou-sheng, Examples on absolutely continuity.淡江學報, 7, 359-362, (1968)
46. Yang, Gou-sheng.On a certain result of Z. Opial. Proceedings of the Japan academy, 42,
no.2, 78-83, (1966).
至92年的國科會專題研究計畫案
- NSC 85-2121-M-032-008 華羅庚不等式之研究
- NSC 86-2115-M-032-004 關於哈馬達不等式之研究
- NSC 87-2115-M-032-009 幾何、對數及算數平均數之間插入問題之研究
- NSC 88-2115-M-032-007 Carlson不等式之推廣
- NSC 89-2115-M-032-003 Hermite-Hadamard不等式之研究
- NSC 89-2115-M-032-009 關於Minc及不等式Sathre之研究
- NSC 90-2115-M-032-002 積分中梯形法則之估計
- NSC 91-2115-M-032-006 Ostrowski-Gruss 型不等式及其應用
NSC 92-2115-M-032-009 Hermite-Hadamard不等式中誤差上限的研究
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