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