Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2018, Cilt: 3 Sayı: 1, 14 - 31, 31.12.2018

Nurullah Kılıç Ahmet Ocak Akdemir

Öz

Kaynakça

  • 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.
  • G.D. Anderson , M.K. Vamanamurthy , M. Vuorinen , Generalized convexity and inequalities J. Math. Anal. Appl. 335 (2007) 1294–1308.
  • İ. İşcan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6) (2014), 935-942.
  • 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.
  • 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.

Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions

Yıl 2018, Cilt: 3 Sayı: 1, 14 - 31, 31.12.2018

Nurullah Kılıç Ahmet Ocak Akdemir

Öz

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. 

Anahtar Kelimeler

Hadamard Inequality Geometrically convexity Hölder inequality

Kaynakça

  • 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.
  • G.D. Anderson , M.K. Vamanamurthy , M. Vuorinen , Generalized convexity and inequalities J. Math. Anal. Appl. 335 (2007) 1294–1308.
  • İ. İşcan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6) (2014), 935-942.
  • 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.
  • 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.
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Nurullah Kılıç Bu kişi benim

Ahmet Ocak Akdemir

Yayımlanma Tarihi 31 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.Kılıç N, Akdemir AO. Hadamard Type Integral Inequalities for Differentiable Geometrically Convex Functions. TJOS [Internet]. 01 Aralık 2018;3(1):14-31. Erişim adresi: https://izlik.org/JA43DR98WM