Araştırma Makalesi

Inequalities for log-convex functions via three times differentiability

Cilt: 13 Sayı: 2 30 Haziran 2017
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EN

Inequalities for log-convex functions via three times differentiability

Öz

In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established. Some applications to quadrature formula for midpoint error estimate are given.



Anahtar Kelimeler

Kaynakça

  1. [1] Alomari, M; Darus M. On the Hadamard’s inequality for convex functions on the coordinates, Journal of Inequalities and Applications, Volume 2009, Article ID 283147, 13 pages. http://192.43.228.178/journals/HOA/JIA/Volume2009/283147.pdf
  2. [2] Dragomir, SS. Some Jensen’s Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces, Bulletin of the Malaysian Mathematical Sciences Society, 2011, 34 /3: 445-454. https://www.emis.de/journals/BMMSS/pdf/v34n3/v34n3p3.pdf
  3. [3] Niculescu, CP. The Hermite–Hadamard inequality for convex functions, Nonlinear Analysis, 2012, 75: 662–669.
  4. [4] Pachpatte, B. G. A note on integral inequalities involving two log-convex functions, Mathematical Inequalities & Applications, 2004, 7/4: 511–515.
  5. [5] Pečarić, J; Rehman, A. U. On logarithmic convexity for power sums and related results, Journal of Inequalities and Applications, vol. 2008, Article ID 389410, 9 pages, 2008. https://www.emis.de/journals/HOA/JIA/Volume2008/305623.pdf
  6. [6] Yang, G. S.; Tseng, KL, Wang H. T. A note on integral inequalities of Hadamard type for convex and concave functions, Taiwanese Journal of Mathematics, 2012, 16 /2: 479-496. http://society.math.ntu.edu.tw/~journal/tjm/V16N2/TJM-273.pdf
  7. [7] Zhanga, X; Jiang, W. Some properties of convex function and applications for the exponential function, Computers and Mathematics with Applications, 2012, 63: 1111–1116. http://fulltext.study/preview/pdf/471578.pdf
  8. [8] Shuang, Y; Wang, Y; Qi, F. Some inequalities of Hermite-Hadamard type for functions whose third derivatives are convex, Journal of Computational Analysis and Applications, 2014, 17/2: 272-279.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Merve Avcı Ardıç Bu kişi benim

Yayımlanma Tarihi

30 Haziran 2017

Gönderilme Tarihi

28 Ekim 2016

Kabul Tarihi

30 Aralık 2016

Yayımlandığı Sayı

Yıl 2017 Cilt: 13 Sayı: 2

Kaynak Göster

APA
Avcı Ardıç, M., & Özdemir, E. (2017). Inequalities for log-convex functions via three times differentiability. Celal Bayar University Journal of Science, 13(2), 353-358. https://doi.org/10.18466/cbayarfbe.319873
AMA
1.Avcı Ardıç M, Özdemir E. Inequalities for log-convex functions via three times differentiability. Celal Bayar University Journal of Science. 2017;13(2):353-358. doi:10.18466/cbayarfbe.319873
Chicago
Avcı Ardıç, Merve, ve Emin Özdemir. 2017. “Inequalities for log-convex functions via three times differentiability”. Celal Bayar University Journal of Science 13 (2): 353-58. https://doi.org/10.18466/cbayarfbe.319873.
EndNote
Avcı Ardıç M, Özdemir E (01 Haziran 2017) Inequalities for log-convex functions via three times differentiability. Celal Bayar University Journal of Science 13 2 353–358.
IEEE
[1]M. Avcı Ardıç ve E. Özdemir, “Inequalities for log-convex functions via three times differentiability”, Celal Bayar University Journal of Science, c. 13, sy 2, ss. 353–358, Haz. 2017, doi: 10.18466/cbayarfbe.319873.
ISNAD
Avcı Ardıç, Merve - Özdemir, Emin. “Inequalities for log-convex functions via three times differentiability”. Celal Bayar University Journal of Science 13/2 (01 Haziran 2017): 353-358. https://doi.org/10.18466/cbayarfbe.319873.
JAMA
1.Avcı Ardıç M, Özdemir E. Inequalities for log-convex functions via three times differentiability. Celal Bayar University Journal of Science. 2017;13:353–358.
MLA
Avcı Ardıç, Merve, ve Emin Özdemir. “Inequalities for log-convex functions via three times differentiability”. Celal Bayar University Journal of Science, c. 13, sy 2, Haziran 2017, ss. 353-8, doi:10.18466/cbayarfbe.319873.
Vancouver
1.Merve Avcı Ardıç, Emin Özdemir. Inequalities for log-convex functions via three times differentiability. Celal Bayar University Journal of Science. 01 Haziran 2017;13(2):353-8. doi:10.18466/cbayarfbe.319873