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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

collaborators

13 papers

math.CA2014

Inequalities via s-convexity and log-convexity

Ahmet Ocak Akdemir, Merve Avci Ardic, M. Emin Özdemir

In this paper, we obtain some new inequalities for functions whose second derivatives' absolute value is s-convex and log-convex. Also, we give some applications for numerical inte…

math.CA2014

Inequalities for log-convex functions via three times differentiability

Merve Avci Ardic, M. E. Ozdemir

In this paper, we obtain some new integral inequalities like Hermite-Hadamard type for third derivatives absolute value are log-convex. We give some applications to quadrature form…

math.CA2013★ 1 cited

Inequalities via n-times differentiable quasi-convex functions

Merve Avci Ardic

In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.

math.CA2013★ 2 cited

Inequalities via n-times differentiable convex functions

Merve Avci Ardic

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

math.CA2013

Inequalities for a number of different types of convexity

Merve Avci Ardic

Some inequalities for different types of convexity are established.

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★ 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…

math.CA2011★ 1 cited

Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave

Merve Avci Ardic, M. Emin Ozdemir

In this paper, we established some new inequalities via s-convex and s-concave functions.