Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2011, Cilt: 4 Sayı: 2, 114 - 119, 30.10.2011

Jian Liu

Öz

Kaynakça

  • [1] P.Erdös, Problem 3740, Amer.Math.Monthly, 42(1935), 396.
  • [2] L.J.Mordell, Egy geometriai, probléma megoldása(Solution of a geometrical problem), Középiskolai Matematikaiés Fizikai Lapok 11(1935), 145-146.
  • [3] L.J.Mordell and D.F.Barrow, Solution of Problem 3740, Amer.Math.Monthly, 44(1937), 252- 254.
  • [4] G.R.Veldkamp, The Erdös-Mordell Inequality, Nieuw Tijdschr.Wisk, 45(1957/1958),193-196.
  • [5] V.Komornik, A short proof of the Erdös-Mordell theorem, Amer.Math.Monthly, 104(1997), 57-60.
  • [6] D.K.Kazarinoff, A simple proof of the Erdös-Mordell inequality for triangles, Michigan Math- ematical Journal, 4(1957), 97-98.
  • [7] L.Bankoff, An elementary proof of the Erdös-Mordell theorem, Amer.Math.Monthly, 65(1958), 521.
  • [8] A.Avez, A short proof of the Erdös and Mordell theorem, Amer.Math.Monthly, 100(1993), 60-62.
  • [9] H.Lee, Another proof of the Erdös-Mordell theorem, Forum Geom, 1(2001), 7-8.
  • [10] N.Dergiades, Signed distances and the Erdös-Mordell inequality, Forum Geom, 4(2004), 67- 68.
  • [11] C.Alsina, R.B.Nelsen, A visual proof of the Erdös-Mordell inequality, Forum Geom, 7(2001), 99-102.
  • [12] J.Liu, A sharpening of the Erdös-Mordell and its applications, Journal of Chongqing Normal University (Natural Science Edition), 22(2)(2005), 12-14(in Chinese).
  • [13] J.Liu, Several new inequalities for the triangle, Mathematics Competition, Hunan Education Press.Hunan, 15(1992), 80-100(in Chinese).
  • [14] Z.Wang, Proof of a geometric inequality, Commun. Stud. Inequal. 16(1)(2009), 66-68(in Chi- nese).
  • [15] D.S.Mitrinović J.E.Pečarić and V.Volenec, Recent Advances in Geometric Inequalities, Kluwer Acad. Publ., Dordrecht 1989.
  • [16] J.Liu, Applications of a corollary of the Wolstenholme inequality, Journal of luoyang teachers college, 22(5)(2003), 11-13(in Chinese).

A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY

Yıl 2011, Cilt: 4 Sayı: 2, 114 - 119, 30.10.2011

Jian Liu

Öz

 

Anahtar Kelimeler

Erdös-Mordell inequality triangle interior point

Kaynakça

  • [1] P.Erdös, Problem 3740, Amer.Math.Monthly, 42(1935), 396.
  • [2] L.J.Mordell, Egy geometriai, probléma megoldása(Solution of a geometrical problem), Középiskolai Matematikaiés Fizikai Lapok 11(1935), 145-146.
  • [3] L.J.Mordell and D.F.Barrow, Solution of Problem 3740, Amer.Math.Monthly, 44(1937), 252- 254.
  • [4] G.R.Veldkamp, The Erdös-Mordell Inequality, Nieuw Tijdschr.Wisk, 45(1957/1958),193-196.
  • [5] V.Komornik, A short proof of the Erdös-Mordell theorem, Amer.Math.Monthly, 104(1997), 57-60.
  • [6] D.K.Kazarinoff, A simple proof of the Erdös-Mordell inequality for triangles, Michigan Math- ematical Journal, 4(1957), 97-98.
  • [7] L.Bankoff, An elementary proof of the Erdös-Mordell theorem, Amer.Math.Monthly, 65(1958), 521.
  • [8] A.Avez, A short proof of the Erdös and Mordell theorem, Amer.Math.Monthly, 100(1993), 60-62.
  • [9] H.Lee, Another proof of the Erdös-Mordell theorem, Forum Geom, 1(2001), 7-8.
  • [10] N.Dergiades, Signed distances and the Erdös-Mordell inequality, Forum Geom, 4(2004), 67- 68.
  • [11] C.Alsina, R.B.Nelsen, A visual proof of the Erdös-Mordell inequality, Forum Geom, 7(2001), 99-102.
  • [12] J.Liu, A sharpening of the Erdös-Mordell and its applications, Journal of Chongqing Normal University (Natural Science Edition), 22(2)(2005), 12-14(in Chinese).
  • [13] J.Liu, Several new inequalities for the triangle, Mathematics Competition, Hunan Education Press.Hunan, 15(1992), 80-100(in Chinese).
  • [14] Z.Wang, Proof of a geometric inequality, Commun. Stud. Inequal. 16(1)(2009), 66-68(in Chi- nese).
  • [15] D.S.Mitrinović J.E.Pečarić and V.Volenec, Recent Advances in Geometric Inequalities, Kluwer Acad. Publ., Dordrecht 1989.
  • [16] J.Liu, Applications of a corollary of the Wolstenholme inequality, Journal of luoyang teachers college, 22(5)(2003), 11-13(in Chinese).
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Jian Liu Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 4 Sayı: 2

Kaynak Göster

APA Liu, J. (2011). A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY. International Electronic Journal of Geometry, 4(2), 114-119.
AMA Liu J. A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY. Int. Electron. J. Geom. Ekim 2011;4(2):114-119.
Chicago Liu, Jian. “A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY”. International Electronic Journal of Geometry 4, sy. 2 (Ekim 2011): 114-19.
EndNote Liu J (01 Ekim 2011) A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY. International Electronic Journal of Geometry 4 2 114–119.
IEEE J. Liu, “A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY”, Int. Electron. J. Geom., c. 4, sy. 2, ss. 114–119, 2011.
ISNAD Liu, Jian. “A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY”. International Electronic Journal of Geometry 4/2 (Ekim 2011), 114-119.
JAMA Liu J. A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY. Int. Electron. J. Geom. 2011;4:114–119.
MLA Liu, Jian. “A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY”. International Electronic Journal of Geometry, c. 4, sy. 2, 2011, ss. 114-9.
Vancouver Liu J. A NEW PROOF OF THE ERDOS-MORDELL INEQUALITY. Int. Electron. J. Geom. 2011;4(2):114-9.