Araştırma Makalesi

HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY

Cilt: 3 Sayı: 2 30 Nisan 2019
PDF İndir
EN

HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY

Öz

In this study, we proposed a new definition to give a different perspec-tive to convex functions. We have introduced the expansion of Hadamard, midpoint Hadamard, trapezoid Hadamard, Simpson and Ostrowski inequalities for the newly defined classes of convex functions.

Anahtar Kelimeler

Kaynakça

  1. [1] ALOMARİ M., DARUS M., KIRMACIU.S., Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comp. and Math. with Appl., V.59, 2010, pp. 225-232.
  2. [2] ALOMARİ M., DARUS M., DRAGOMİR S.S., New inequalities of Simpson's type for s-convex functions with applications, RGMIA Research Report Collection Volume 12 (4), 2010.
  3. [3] ALOMARİ M., DARUS M., Some Ostrowski type inequalities for quasi-convex functions with applications to special means, RGMIA Research Report Collection Volume 13, article 2, 2010.
  4. [4] BESSENYEİ M., The Hermite-Hadamard inequality on simplices, Amer. Math. Monthly 115 (2008), no. 4, 339-345. MR 2009b:52023
  5. [5] BESSENYEİ M., Hermite-Hadamard-type inequalities for generalized convex functions, J. Inequal. Pure Appl. Math. 9 (2008), no. 3, Article 63, pp. 51 (electronic).
  6. [6] BESSENYEİ M., The Hermite-Hadamard inequality in Beckenbach's setting, J. Math. Anal. Appl. 364 (2010), no. 2, 366-383. MR MR2576189
  7. [7] BESSENYEİ M. and PÁLES Zs., Higher-order generalizations of Hadamard's inequality, Publ. Math. Debrecen 61 (2002), no. 3-4, 623-643. MR 2003k:26021
  8. [8] BESSENYEİ M. and PÁLES Zs., Characterizations of convexity via Hadamard's inequality, Math. Inequal. Appl. 9 (2006), no. 1, 53-62. MR 2007a:26010

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Nisan 2019

Gönderilme Tarihi

13 Mart 2019

Kabul Tarihi

29 Nisan 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Çakmak, M. (2019). HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY. Journal of Scientific Perspectives, 3(2), 141-158. https://doi.org/10.26900/jsp.3.015
AMA
1.Çakmak M. HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY. JSP. 2019;3(2):141-158. doi:10.26900/jsp.3.015
Chicago
Çakmak, Musa. 2019. “HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY”. Journal of Scientific Perspectives 3 (2): 141-58. https://doi.org/10.26900/jsp.3.015.
EndNote
Çakmak M (01 Nisan 2019) HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY. Journal of Scientific Perspectives 3 2 141–158.
IEEE
[1]M. Çakmak, “HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY”, JSP, c. 3, sy 2, ss. 141–158, Nis. 2019, doi: 10.26900/jsp.3.015.
ISNAD
Çakmak, Musa. “HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY”. Journal of Scientific Perspectives 3/2 (01 Nisan 2019): 141-158. https://doi.org/10.26900/jsp.3.015.
JAMA
1.Çakmak M. HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY. JSP. 2019;3:141–158.
MLA
Çakmak, Musa. “HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY”. Journal of Scientific Perspectives, c. 3, sy 2, Nisan 2019, ss. 141-58, doi:10.26900/jsp.3.015.
Vancouver
1.Musa Çakmak. HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY. JSP. 01 Nisan 2019;3(2):141-58. doi:10.26900/jsp.3.015