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

Yıl 2016, Cilt: 1 Sayı: 1, 28 - 40, 31.12.2016

M. Emin Özdemir , Merve Avcı-ardıç , Havva Kavurmacı-önalan

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

s-convex function, Hölder inequality, Power-mean inequality, Riemann Liouville fractional integral, Euler Gamma function

Kaynakça

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• 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
• applications, JIA, 2011, 2011:86.
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