Araştırma Makalesi

Some new integral inequalities for n-times differentiable log-convex functions

Cilt: 5 Sayı: 2 30 Mart 2017
PDF İndir
EN

Some new integral inequalities for n-times differentiable log-convex functions

Abstract

 In this work, by using an integral identity together with both the Ho¨lder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable log-convex functions.

Keywords

Kaynakça

  1. [1] M. Alomari and M. Darus, “On The Hadamard’s Inequality for Log-Convex Functions on the Coordinates”, Hindawi Publishing Corporation Journal of Inequalities and Applications, Volume 2009, Article ID 283147, 13 pages, doi:10.1155/2009/283147.
  2. [2] M. A. Ardıc¸ and M. Emin ¨Ozdemir, “Inequalities for log-convex functions vıa three times differentiability”, arXiv:1405.7480v1 [math.CA] 29 May 2014.
  3. [3] S. P. Bai, S.-H. Wang and F. Qi, “Some Hermite-Hadamard type inequalities for n-time differentiable ( α ,m)-convex functions”, Jour. of Ineq. and Appl., 2012, 2012:267.
  4. [4] P. Cerone, S.S. Dragomir and J. Roumeliotis, “Some Ostrowski type inequalities for n-time differentiable mappings and applications”, Demonstratio Math., 32 (4) (1999), 697–712.
  5. [5] P. Cerone, S.S. Dragomir, J. Roumeliotis and J. Sunde, “A new generalization of the trapezoid formula for n-time differentiable mappings and applications”, Demonstratio Math., 33 (4) (2000), 719–736.
  6. [6] S. S. Dragomir and C.E.M. Pearce, “Selected Topics on Hermite-Hadamard Inequalities and Applications”, RGMIA Monographs, Victoria University, 2000, online: http://www.staxo.vu.edu.au/RGMIA/monographs/hermite hadamard.html.
  7. [7] S.S. Dragomir, “New jensen’s type inequalities for differentiable log-convex functions of selfadjoint operators in Hilbert spaces”, Sarajevo Journal of Mathematics, Vol.7 (19) (2011), 67-80.
  8. [8] D. Y. Hwang, “Some Inequalities for n-time Differentiable Mappings and Applications”, Kyung. Math. Jour., 43 (2003), 335–343.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

İmdat Iscan * Bu kişi benim
Türkiye

Huriye Kadakal Bu kişi benim
Türkiye

Yayımlanma Tarihi

30 Mart 2017

Gönderilme Tarihi

2 Ocak 2017

Kabul Tarihi

4 Mart 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Iscan, İ., Kadakal, H., & Kadakal, M. (2017). Some new integral inequalities for n-times differentiable log-convex functions. New Trends in Mathematical Sciences, 5(2), 10-15. https://izlik.org/JA43CZ55XU
AMA
1.Iscan İ, Kadakal H, Kadakal M. Some new integral inequalities for n-times differentiable log-convex functions. New Trends in Mathematical Sciences. 2017;5(2):10-15. https://izlik.org/JA43CZ55XU
Chicago
Iscan, İmdat, Huriye Kadakal, ve Mahir Kadakal. 2017. “Some new integral inequalities for n-times differentiable log-convex functions”. New Trends in Mathematical Sciences 5 (2): 10-15. https://izlik.org/JA43CZ55XU.
EndNote
Iscan İ, Kadakal H, Kadakal M (01 Mart 2017) Some new integral inequalities for n-times differentiable log-convex functions. New Trends in Mathematical Sciences 5 2 10–15.
IEEE
[1]İ. Iscan, H. Kadakal, ve M. Kadakal, “Some new integral inequalities for n-times differentiable log-convex functions”, New Trends in Mathematical Sciences, c. 5, sy 2, ss. 10–15, Mar. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA43CZ55XU
ISNAD
Iscan, İmdat - Kadakal, Huriye - Kadakal, Mahir. “Some new integral inequalities for n-times differentiable log-convex functions”. New Trends in Mathematical Sciences 5/2 (01 Mart 2017): 10-15. https://izlik.org/JA43CZ55XU.
JAMA
1.Iscan İ, Kadakal H, Kadakal M. Some new integral inequalities for n-times differentiable log-convex functions. New Trends in Mathematical Sciences. 2017;5:10–15.
MLA
Iscan, İmdat, vd. “Some new integral inequalities for n-times differentiable log-convex functions”. New Trends in Mathematical Sciences, c. 5, sy 2, Mart 2017, ss. 10-15, https://izlik.org/JA43CZ55XU.
Vancouver
1.İmdat Iscan, Huriye Kadakal, Mahir Kadakal. Some new integral inequalities for n-times differentiable log-convex functions. New Trends in Mathematical Sciences [Internet]. 01 Mart 2017;5(2):10-5. Erişim adresi: https://izlik.org/JA43CZ55XU