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Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals

Cilt: 1 Sayı: 1 31 Aralık 2016
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EN

Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals

Abstract

New identity for fractional integrals have been defined. By using this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. It has been determined that the results are related to the results of Avcı et al., proved in [4, published in Appl. Math. Comput., 217 (2011) 5171-5176].

Keywords

Kaynakça

  1. R. Gorenflo, F. Mainardi, Fractional calculus: integral and differential equations of fractional order, Springer Verlag,
  2. Wien (1997), 223-276.
  3. S. Miller and B. Ross, An introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley
  4. and Sons, USA, 1993, p.2.
  5. I. Podlubni, Fractional Differential Equations, Academic Press, San Diego, 1999.
  6. M. Avcı, H. Kavurmacı and M.E. Özdemir, New inequalities of Hermite-Hadamard type via convex functions in
  7. the second sense with applications, Appl. Math. Comput., 217 (2011) 5171–5176.
  8. H. Kavurmacı, M. Avcı and M.E. Özdemir, New inequalities of hermite-hadamard type for convex functions with

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

1 Ocak 2017

Kabul Tarihi

27 Aralık 2016

Yayımlandığı Sayı

Yıl 1970 Cilt: 1 Sayı: 1

Kaynak Göster

APA
Özdemir, M. E., Avcı-ardıç, M., & Kavurmacı-önalan, H. (2016). Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals. Turkish Journal of Science, 1(1), 28-40. https://izlik.org/JA55KW56DA
AMA
1.Özdemir ME, Avcı-ardıç M, Kavurmacı-önalan H. Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals. TJOS. 2016;1(1):28-40. https://izlik.org/JA55KW56DA
Chicago
Özdemir, M. Emin, Merve Avcı-ardıç, ve Havva Kavurmacı-önalan. 2016. “Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals”. Turkish Journal of Science 1 (1): 28-40. https://izlik.org/JA55KW56DA.
EndNote
Özdemir ME, Avcı-ardıç M, Kavurmacı-önalan H (01 Aralık 2016) Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals. Turkish Journal of Science 1 1 28–40.
IEEE
[1]M. E. Özdemir, M. Avcı-ardıç, ve H. Kavurmacı-önalan, “Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals”, TJOS, c. 1, sy 1, ss. 28–40, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA55KW56DA
ISNAD
Özdemir, M. Emin - Avcı-ardıç, Merve - Kavurmacı-önalan, Havva. “Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals”. Turkish Journal of Science 1/1 (01 Aralık 2016): 28-40. https://izlik.org/JA55KW56DA.
JAMA
1.Özdemir ME, Avcı-ardıç M, Kavurmacı-önalan H. Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals. TJOS. 2016;1:28–40.
MLA
Özdemir, M. Emin, vd. “Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals”. Turkish Journal of Science, c. 1, sy 1, Aralık 2016, ss. 28-40, https://izlik.org/JA55KW56DA.
Vancouver
1.M. Emin Özdemir, Merve Avcı-ardıç, Havva Kavurmacı-önalan. Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals. TJOS [Internet]. 01 Aralık 2016;1(1):28-40. Erişim adresi: https://izlik.org/JA55KW56DA