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20112014
most citedOn some inequalities for different kinds of convexity

3 citations · 7 across the 12 of their papers we have counts for

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Showing 2012Show all

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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★ 3 cited

On some inequalities for different kinds of convexity

Merve Avci Ardic, M. Emin Ozdemir

In this paper, we obtained some inequalities for ϕ_{s}-convex function, ϕ-Godunova-Levin function, ϕ-P-function and log-ϕ-convex function. Finally, we defined the class of ϕ-quasi-…

math.FA2012

Hadamard Type Inequalities for m-Convex and (α,m)-Convex Functions via Fractional Integrals

M. Emin Özdemir, Merve Avcı, A. Ocak Akdemir +1

In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and (α,m)-convex functions via Riemann-Li…