Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals
Öz
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].
Anahtar Kelimeler
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 2016 Cilt: 1 Sayı: 1