34 citations · 75 across the 27 of their papers we have counts for
27 papers
Integral inequalities for mappings whose derivatives are s-convex in the second sense and applications to special means for positive real numbers
Mevlut Tunc, Sevil Balgecti
In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known Hölder inequality and power mean…
Some inequalities for differentiable convex functions with applications
Mevlut Tunc, Sevil Balgecti
In this paper, the Authors establish a new identity for differentiable functions. By the well-known Hölder and power mean inequality, they obtain some integral inequalities related…
Some Hadamard and Simpson type integral inequalities via s-convexity and their applications
Mevlut Tunc
In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive r…
Some Hadamard like inequalities via convex and s-convex functions and their applications for special means
Mevlut Tunc
In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numb…
On new approach Hadamard-type inequalities for s-geometrically convex functions
Mevlut Tunc, Ibrahim Karabayir
In this paper we achieve some new Hadamard type inequalities using elementary well known inequalities for functions whose first derivatives absolute values are s-geometrically and…
Some integral inequalities for α-, m-, (α,m)-logarithmically convex functions
Mevlut Tunc, Ebru Yuksel
In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are α-, m-, (α,m)-logarith…
Ostrowski type inequalities for s-logarithmically convex functions in the second sense via fractional integrals
Mevlut Tunc, Ahmet Ocak Akdemir
In this paper, we establish some new Ostrowski type inequalities for s-logarithmically convex functions by using Riemann-Liouville fractional integrals. Some applications of our re…
On some inequalities for s-logarithmically convex functions in the second sense via fractional integrals
Havva Kavurmaci, Mevlut Tunc
In this paper, we establish some new Hadamard type inequalities for s-logarithmically convex functions in the second sense via fractional integrals by using Lemma 1 which has been…
On some integral inequalities for s-logarithmically convex functions and their applications
Ahmet Ocak Akdemir, Mevlut Tunc
In this paper, we describe s-logarithmically convex functions in the first and second sense which are connected with the ordinary logatihmic convex and s-convex in the first and se…
On some inequalities for m- and (alpha,m)-logarithmically convex functions
Mevlut Tunc
In this paper, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.
Ostrowski type Inequalities for m- and (alpha,m)-geometrically convex functions via Riemann-Louville Fractional integrals
Mevlut Tunc
In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex fu…
On some integral inequalities for s-geometrically convex functions and their applications
Mevlut Tunc
In this paper, we establish three inequalities for differentiable s-geometrically and geometrically convex functions which are connected with the famous Hermite-Hadamard inequality…
Definitions of h-logaritmic, h-geometric and h-multi convex functions and some inequalities related to them
M. Emin Ozdemir, Mevlut Tunc, Mustafa Gurbuz
In this papaer, we put forward some new definitions and integral inequalities by using fairly elementary analysis.
New Estimates on Integral Inequalities and Their Applications
M. Emin Ozdemir, Mustafa Gurbuz, Mevlut Tunc
In this paper, we obtain some inequalities by using a kernel and an inequality which is a result of Young inequality. Besides we give some applications to special means.
On Some Inequalities of Simpson's Type via h-Convex Functions
Mevlut Tunc, Cetin Yildiz, Alper Ekinci
In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are ob…
On MT-Convexity
Mevlut Tunc, Huseyin Yildirim
In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.
Two new definitions on convexity and related inequalities
Mevlut Tunc
We have made some new definitions using the inequalities of Young' and Nesbitt'. And we have given some features of these new definitions. After, we established new Hadamard type i…
Ostrowski type Inequalities via h-convex Functions with Applications for Special Means
Mevlut Tunc
In this paper, we establish some new Ostrowski type inequalities for the class of h-convex functions which are super-multiplicative or super-additive and nonnegative. Some applicat…
On Some New Hadamard Like Inequalities for Co-ordinated s-convex Functions
M. Emin Ozdemir, Mevlut Tunc, Ahmet Ocak Akdemir
In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.
Some New Inequalities for (h-s)_{1,2}-convex Functions via Further Properties
M. Emin Ozdemir, Ahmet Ocak Akdemir, Mevlut Tunc
In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly order…
New Estimations for h-convex Functions via Further Properties
Mevlut Tunc, Huseyin Yildirim
In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given…
On Some New Integral Inequalities for K_{s}^2
Mevlut Tunc
In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.
Two new different kinds of convex dominated functions and inequalities via hermite-hadamard type
M. Emin Ozdemir, Mevlut Tunc, Havva Kavurmaci
In this paper, we establish two new convex dominated function and then we obtain new Hadamard type inequalities related to this denitions.
Hermite-hadamard-type inqualities for new different kinds of convex dominated functions
M. Emin Ozdemir, Havva Kavurmaci, Mevlut Tunc
In this paper, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.