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M. Emin Özdemir

Publications and source records attributed to M. Emin Özdemir.

12 recordsLinked to original sources
arXiv2024

On new types of convex functions and their properties

In this study, Firstly, we will write two new convex functions for $-1<n-α\leq 1\ $and two new lemmas. Then we will find the relevance of the two new lemmas to Caputo-left-sided derivatives under additional conditions and draw conclusions about them. Secondly,We will give examples that support it. In what follows, we will rewrite the Hermite Hadamard integral inequality based on this new definitions. Furthermore, we will write an elementary inequality valid for value $-1<n-α\leq 1.$

math.FA↗
arXiv2014

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↗
arXiv2013

Inequalities on Geometrically Convex Functions

In this paper, we obtain some new upper bounds for differantiable mappings whose q-th powers are geometrically convex and monotonically decreasing by using the Hölder inequality, Power mean inequality and properties of modulus.

math.CA↗
arXiv2013

On The Coordinated g-convex Dominated Functions

In this study, we define g-convex dominated functions on the co-ordinates and prove some Hadamard-type, Fejer-type inequalities for this new class of functions. We also give some results related to the functional H.

math.CA↗
arXiv2012

Fractional integral inequalities for different functions

In this paper, we establish several inequalities for different convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

math.CA↗