Simpson Type Inequalities via $φ$-Convexity
In this paper, we obtain some Simpson type inequalities for functions whose derivatives in absolute value are $φ$-convex.
math.FA↗
arXiv subjects
Merve Avci
Publications and source records attributed to Merve Avci.
Some integral inequalities for Godunova-Levin Class Functions
In this paper, we obtain some new inequalities for functions which are introduced by Godunova and Levin.
math.FA↗
Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals
New identity for fractional integrals have been defined. By using of this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the result of Avci et al., proved in AKO.
math.FA↗
Simpson Type Inequalities for m-convex Functions
In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.
math.FA↗
On Some Hadamard-Type Inequalities for Differentiable m-Convex Functions
In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications for some Theorems are given as well.
math.CA↗
Hermite-Hadamard Type Inequalities via (α,m)- Convexity
In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are (α,m)- convex.
math.CA↗
New Inequalities of Hermite-Hadamard Type for Functions whose Derivatives Absolute Values are Quasi-Convex
In this paper we establish some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.
math.CA↗
Inequalities for Convex and s-Convex Functions on {\delta}=[a,b]$\times$[c,d]
In this paper, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions.
math.CA↗
On the Simpson's Inequality for Co-ordinated Convex Functions
In this paper, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.
math.CA↗
New Ostrowski type inequalities for m-convex functions and applications
In this paper, we establish new inequalities of Ostrowski type for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.
math.CA↗
New Inequalities Of Hermite-Hadamard Type For Convex Functions With Applications
In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained.
math.CA↗