Inequalities via s-convexity and log-convexity
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 integration.
math.CA↗
arXiv subjects
Merve Avci Ardic
Publications and source records attributed to Merve Avci Ardic.
Inequalities for log-convex functions via three times differentiability
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 formula for midpoint error estimate.
math.CA↗
Inequalities via n-times differentiable quasi-convex functions
In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.
math.CA↗
Inequalities via n-times differentiable convex functions
In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.
math.CA↗
Inequalities for a number of different types of convexity
Some inequalities for different types of convexity are established.
math.CA↗
Simpson type inequalities for first order differentiable preinvex and prequasiinvex functions
In this paper, we obtain some inequalities for functions whose first derivatives in absolute value are preinvex and prequasiinvex.
math.FA↗
Hermite-Hadamard type inequalities via preinvexity and prequasiinvexity
In this paper, we obtain some Hermite-Hadamard type inequalities for functions whose third derivatives in absolute value are preinvex and prequasiinvex.
math.FA↗
Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave
In this paper, we established some new inequalities via s-convex and s-concave functions.
math.CA↗
Some Companions of Ostrowski type inequality for s-convex and s-concave functions with applications
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.FA↗
Some Companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.
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On some inequalities for different kinds of convexity
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-convex functions and we examined some properties of this class.
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Two Theorems for (α,m)-convex functions
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.
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