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Ostrowski type inequalities for p-convex functions

Cilt: 4 Sayı: 3 30 Eylül 2016
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Ostrowski type inequalities for p-convex functions

Abstract


In this paper, we give a different version of the concept of -convex functions and obtain some new properties of -convex functions. Moreover we establish some Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are -convex.


Keywords

Kaynakça

  1. J. Aczél, A generalization of the notion of convex functions, Norske Vid. Selsk. Forhd., Trondhjem 19(24) (1947), 87–90.
  2. M. Abramowitz and I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965.
  3. M. Alomari, M. Darus, S. S. Dragomir and P. Cerone, Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense, Applied Mathematics Letters 23(9) (2010), 1071-1076.
  4. G. Aumann, Konvexe Funktionen und Induktion bei Ungleichungen zwischen Mittelverten, Bayer. Akad. Wiss.Math.-Natur. Kl. Abh., Math. Ann. 109 (1933), 405–413.
  5. I. A. Baloch and İ. İşcan, Some Ostrowski Type Inequalities For Harmonically (s,m)- convex functoins in Second Sense, International Journal of Analysis, vol. 2015 (2015), Article ID 672675, 9 pages, http://dx.doi.org/10.1155/2015/672675.
  6. P. Cerone and S. Dragomir, Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions, Demonstratio Mathematica, Warsaw Technical University Institute of Mathematics 37(2) (2004), 299-308.
  7. Z. B. Fang, R. Shi, On the (p,h)-convex function and some integral inequalities, J. Inequal. Appl. 2014(45) (2014), 16 pages.
  8. İ. İşcan, Hermite-Hadamard type inequalities for harmonically convex functions. Hacet. J. Math. Stat. 43(6) (2014), 935–942.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Eylül 2016

Gönderilme Tarihi

13 Mayıs 2016

Kabul Tarihi

27 Mayıs 2016

Yayımlandığı Sayı

Yıl 1970 Cilt: 4 Sayı: 3

Kaynak Göster

APA
Iscan, İ. (2016). Ostrowski type inequalities for p-convex functions. New Trends in Mathematical Sciences, 4(3), 140-150. https://izlik.org/JA36YU25UL
AMA
1.Iscan İ. Ostrowski type inequalities for p-convex functions. New Trends in Mathematical Sciences. 2016;4(3):140-150. https://izlik.org/JA36YU25UL
Chicago
Iscan, İmdat. 2016. “Ostrowski type inequalities for p-convex functions”. New Trends in Mathematical Sciences 4 (3): 140-50. https://izlik.org/JA36YU25UL.
EndNote
Iscan İ (01 Eylül 2016) Ostrowski type inequalities for p-convex functions. New Trends in Mathematical Sciences 4 3 140–150.
IEEE
[1]İ. Iscan, “Ostrowski type inequalities for p-convex functions”, New Trends in Mathematical Sciences, c. 4, sy 3, ss. 140–150, Eyl. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA36YU25UL
ISNAD
Iscan, İmdat. “Ostrowski type inequalities for p-convex functions”. New Trends in Mathematical Sciences 4/3 (01 Eylül 2016): 140-150. https://izlik.org/JA36YU25UL.
JAMA
1.Iscan İ. Ostrowski type inequalities for p-convex functions. New Trends in Mathematical Sciences. 2016;4:140–150.
MLA
Iscan, İmdat. “Ostrowski type inequalities for p-convex functions”. New Trends in Mathematical Sciences, c. 4, sy 3, Eylül 2016, ss. 140-5, https://izlik.org/JA36YU25UL.
Vancouver
1.İmdat Iscan. Ostrowski type inequalities for p-convex functions. New Trends in Mathematical Sciences [Internet]. 01 Eylül 2016;4(3):140-5. Erişim adresi: https://izlik.org/JA36YU25UL