Araştırma Makalesi

HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY

Cilt: 3 Sayı: 2 30 Nisan 2019
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HADAMARD, SIMPSON AND OSTROWSKI TYPE INEQUALITIES FOR E-CONVEXITY

Abstract

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.

Keywords

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.
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  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
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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