Araştırma Makalesi

Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions

Cilt: 5 Sayı: 2 30 Mart 2017
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Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions

Abstract

In this paper, by using an integral identity together with both the H¨older and the Power-Mean integral inequality we established some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions.

Keywords

Kaynakça

  1. S.P. Bai, S.H. Wang and F. Qi, “Some Hermite-Hadamard type inequalities for n-time differentiable (a,m)-convex functions”, Jour. of Ineq. and Appl., 2012, 2012:267.
  2. M. K. Bakula, M. E. ¨Ozdemir and J. Pecaric, “Hadamard type inequalities for m-convex and (a, m)-convex functions”, J. Inequal. Pure & Appl. Math., 9(2008), Article 96, [http://jipam.vu.edu.au].
  3. 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.
  4. 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.
  5. 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/hermitehadamard.html.
  6. D.Y. Hwang, “Some Inequalities for n-time Differentiable Mappings and Applications”, Kyung. Math. Jour., 43 (2003), 335–343.
  7. I. Iscan, “Ostrowski type inequalities for p-convex functions”, New Trends in Mathematical Sciences, 4 (3) (2016), 140-150.
  8. I. Iscan and S. Turhan, “Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via Fractional integral”, Moroccan J. Pure and Appl. Anal.(MJPAA), Volume 2(1) (2016), 34-46.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Huriye Kadakal Bu kişi benim
Türkiye

Mahir Kadakal Bu kişi benim
Türkiye

Yayımlanma Tarihi

30 Mart 2017

Gönderilme Tarihi

24 Şubat 2017

Kabul Tarihi

1 Haziran 2017

Yayımlandığı Sayı

Yıl 1970 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Iscan, I., Kadakal, H., & Kadakal, M. (2017). Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences, 5(2), 180-185. https://izlik.org/JA85AM76SX
AMA
1.Iscan I, Kadakal H, Kadakal M. Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences. 2017;5(2):180-185. https://izlik.org/JA85AM76SX
Chicago
Iscan, Imdat, Huriye Kadakal, ve Mahir Kadakal. 2017. “Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions”. New Trends in Mathematical Sciences 5 (2): 180-85. https://izlik.org/JA85AM76SX.
EndNote
Iscan I, Kadakal H, Kadakal M (01 Mart 2017) Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences 5 2 180–185.
IEEE
[1]I. Iscan, H. Kadakal, ve M. Kadakal, “Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions”, New Trends in Mathematical Sciences, c. 5, sy 2, ss. 180–185, Mar. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA85AM76SX
ISNAD
Iscan, Imdat - Kadakal, Huriye - Kadakal, Mahir. “Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions”. New Trends in Mathematical Sciences 5/2 (01 Mart 2017): 180-185. https://izlik.org/JA85AM76SX.
JAMA
1.Iscan I, Kadakal H, Kadakal M. Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences. 2017;5:180–185.
MLA
Iscan, Imdat, vd. “Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions”. New Trends in Mathematical Sciences, c. 5, sy 2, Mart 2017, ss. 180-5, https://izlik.org/JA85AM76SX.
Vancouver
1.Imdat Iscan, Huriye Kadakal, Mahir Kadakal. Some new integral inequalities for functions whose nth derivatives in absolute value are (a,m)-convex functions. New Trends in Mathematical Sciences [Internet]. 01 Mart 2017;5(2):180-5. Erişim adresi: https://izlik.org/JA85AM76SX