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Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral

Cilt: 4 Sayı: 2 1 Mart 2016
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Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral

Abstract

In this paper, we gave the new general identity for differentiable functions. As a result of this identity some new and general inequalities for differentiable harmonically-convex functions are obtained.

Keywords

Kaynakça

  1. F. Chen and S. Wu, Hermite-Hadamard type inequalities for harmonically s-convex functions, Sci. World (2014), 7, Article ID 279158.
  2. Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), pp. 51-58.
  3. S. S. Dragomir, Hermite Hadamard’ s type inequalities for convex functions of selfadjoint operators in Hilbert spaces, Linear Algebra Appl. 436 (2012), no.5, 1503-1515.
  4. D-Y. Hwang, Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables, Applied Mathematics and Computation, 217 (2011), 9598-9605.
  5. I. Iscan, M. Kunt, Fej´er and Hermite-Hadamard-Fej´er type inequalities for harmonically s-convex functions via Fractional Integrals, The Australian Journal of Mathematical Analysis and Applications, (2015), Vol: 12, 1 ,Article 10, pp 1-6.
  6. I. Iscan, Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics 43 (6) (2014), 935-942.
  7. I. Iscan, Ostrowski type inequalities for harmonically s-convex functions, Konuralp Jurnal of Mathematics, Volume 3, No 1 (2015), pp. 63-74.
  8. I. Iscan, Some new general integral inequalities for h-convex and h-concave functions, Adv. Pure Appl. Math. 5(1) (2014), pp. 21-29 . doi: 10.1515/apam-2013-0029.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Sercan Turhan Bu kişi benim
Türkiye

Selahattin Maden Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Mart 2016

Gönderilme Tarihi

13 Kasım 2015

Kabul Tarihi

29 Aralık 2015

Yayımlandığı Sayı

Yıl 1970 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Iscan, İ., Turhan, S., & Maden, S. (2016). Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences, 4(2), 1-10. https://izlik.org/JA24CP85NZ
AMA
1.Iscan İ, Turhan S, Maden S. Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences. 2016;4(2):1-10. https://izlik.org/JA24CP85NZ
Chicago
Iscan, İmdat, Sercan Turhan, ve Selahattin Maden. 2016. “Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral”. New Trends in Mathematical Sciences 4 (2): 1-10. https://izlik.org/JA24CP85NZ.
EndNote
Iscan İ, Turhan S, Maden S (01 Mart 2016) Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences 4 2 1–10.
IEEE
[1]İ. Iscan, S. Turhan, ve S. Maden, “Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral”, New Trends in Mathematical Sciences, c. 4, sy 2, ss. 1–10, Mar. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA24CP85NZ
ISNAD
Iscan, İmdat - Turhan, Sercan - Maden, Selahattin. “Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral”. New Trends in Mathematical Sciences 4/2 (01 Mart 2016): 1-10. https://izlik.org/JA24CP85NZ.
JAMA
1.Iscan İ, Turhan S, Maden S. Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences. 2016;4:1–10.
MLA
Iscan, İmdat, vd. “Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral”. New Trends in Mathematical Sciences, c. 4, sy 2, Mart 2016, ss. 1-10, https://izlik.org/JA24CP85NZ.
Vancouver
1.İmdat Iscan, Sercan Turhan, Selahattin Maden. Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral. New Trends in Mathematical Sciences [Internet]. 01 Mart 2016;4(2):1-10. Erişim adresi: https://izlik.org/JA24CP85NZ