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Some new fractional Fejér type inequalities for convex functions

Set E., Mumcu Î.

Fasciculi Mathematici

2017

Nr 59

145--157

In this paper, firstly, a new identity for conformable fractional integrals is established. Then by making use of the established identity, some new fractional Fejér type inequalities are established. The results presented here have some relationships with the results of Set et al. (2015), proved in [6].

On some inequality of Hermite-Hadamard type

Wąsowicz S., Witkowski A.

Opuscula Mathematica

2012

Vol. 32, no. 3

591-600

It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal. We also present its counterpart of Fejér type.