5 papers · 1 filter
Simpson type inequalities for first order differentiable preinvex and prequasiinvex functions
M. Emin Ozdemir, Merve Avci Ardic
In this paper, we obtain some inequalities for functions whose first derivatives in absolute value are preinvex and prequasiinvex.
Hermite-Hadamard type inequalities via preinvexity and prequasiinvexity
M. Emin Ozdemir, Merve Avci Ardic
In this paper, we obtain some Hermite-Hadamard type inequalities for functions whose third derivatives in absolute value are preinvex and prequasiinvex.
Integral Inequalities for functions whose 3rd derivatives belong to Q(I)
M. E. Ozdemir, M. Avci Ardic, M. Gurbuz
In this paper, we obtain some new inequalities of Hermite-Hadamard type and Simpson type for functions whose third derivatives belong to Godunova-Levin class.
Two Theorems for (α,m)-convex functions
M. Emin Ozdemir, Merve Avci Ardic
In this paper, we obtain some new inequalities for (α,m)-convex functions. The analysis used in the proofs is fairly elementary and based on the use of Power-mean inequality.
Some Companions of Ostrowski type inequality for s-convex and s-concave functions with applications
M. Emin Özdemir, Merve Avci Ardic
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.