Araştırma Makalesi

Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions

Cilt: 3 Sayı: 1 31 Aralık 2018
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Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions

Abstract

In this study, firstly two integral identity have been obtained and some Hadamard type integral inequalities have been proved for geometrically convex functions by using these two integral identities. Also, some applications related to findings have been given.


Bu çalışmada öncelikle iki integral eşitsizliği elde edilmiş ve bu iki eşitlik yardımıyla türevlenebilen geometrik konveks fonksiyonlar için bazı Hadamard tipli integral eşitsizlikler ispat edilmiştir. Ayrıca elde edilen bulgulara ait bazı uygulamalar verilmiştir. 

Keywords

Kaynakça

  1. M. Avcı-Ardıç, A.O.Akdemir, E.Set, New Ostrowski Like Inequalities for GG−Convex and GA−Convex Functions, Mathematical Inequalities and Applications, Volume 19, Number 4 (2016), 1159–1168.
  2. G.D. Anderson , M.K. Vamanamurthy , M. Vuorinen , Generalized convexity and inequalities J. Math. Anal. Appl. 335 (2007) 1294–1308.
  3. İ. İşcan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6) (2014), 935-942.
  4. T-Y. Zhang, A-P. Ji and F. Qi, Sone inequalities of Hermite-Hadamard type for GA-convex functions with applications to means, Le Matematiche, Vol. LXVIII (2013) Fasc. I, pp. 229239, doi: 10.4418/2013.68.1.17.
  5. X-M. Zhang, Y-M. Chu, and X-H. Zhang, The Hermite-Hadamard type inequality of GA-convex functions and its application, Journal of Inequalities and Applications, Volume 2010, Article ID 507560, 11 pages, doi:10.1155/2010/507560.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Nurullah Kılıç Bu kişi benim
Türkiye

Yayımlanma Tarihi

31 Aralık 2018

Gönderilme Tarihi

23 Ağustos 2018

Kabul Tarihi

29 Aralık 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 3 Sayı: 1

Kaynak Göster

APA
Kılıç, N., & Akdemir, A. O. (2018). Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions. Turkish Journal of Science, 3(1), 14-31. https://izlik.org/JA43DR98WM
AMA
1.Kılıç N, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions. TJOS. 2018;3(1):14-31. https://izlik.org/JA43DR98WM
Chicago
Kılıç, Nurullah, ve Ahmet Ocak Akdemir. 2018. “Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions”. Turkish Journal of Science 3 (1): 14-31. https://izlik.org/JA43DR98WM.
EndNote
Kılıç N, Akdemir AO (01 Aralık 2018) Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions. Turkish Journal of Science 3 1 14–31.
IEEE
[1]N. Kılıç ve A. O. Akdemir, “Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions”, TJOS, c. 3, sy 1, ss. 14–31, Ara. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA43DR98WM
ISNAD
Kılıç, Nurullah - Akdemir, Ahmet Ocak. “Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions”. Turkish Journal of Science 3/1 (01 Aralık 2018): 14-31. https://izlik.org/JA43DR98WM.
JAMA
1.Kılıç N, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions. TJOS. 2018;3:14–31.
MLA
Kılıç, Nurullah, ve Ahmet Ocak Akdemir. “Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions”. Turkish Journal of Science, c. 3, sy 1, Aralık 2018, ss. 14-31, https://izlik.org/JA43DR98WM.
Vancouver
1.Nurullah Kılıç, Ahmet Ocak Akdemir. Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions. TJOS [Internet]. 01 Aralık 2018;3(1):14-31. Erişim adresi: https://izlik.org/JA43DR98WM