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20102013
most citedNew inequalities of Ostrowski's type for s-convex functions in the second sense with applications

52 citations · 103 across the 15 of their papers we have counts for

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7 papers · 1 filter

math.FA2013

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.

math.FA2013

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.

math.FA2012

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.

math.FA2012

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.

math.FA2012

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.

math.FA2012

Inequalities via φ_{h,m}-convexity

M. E. Özdemir, M. Avci

In this paper, we define φ_{h,m}-convex functions and prove some inequalities for this class.