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Ahmet Ocak Akdemir

Publications and source records attributed to Ahmet Ocak Akdemir.

At least 19 recordsLinked to original sources
arXiv2023

On Minkowski Inequalities Involving Fractional Calculus With General Analytic Kernels

There have been many proposed forms of fractional calculus, which can be grouped into a few broad classes of operators. By replacing the kernel of the power function with another kernel function, the traditional Riemann-Liouville formula and its generalisations are modified. Recent research has focused on Minkowski fractional inequalities and other inequalities for fractional integrals of certain types of functions. We also provide many concrete examples of applications to demonstrate the power of our key findings. It is no longer necessary to prove such statements separately for each model. This is because in a single study we have provided theorems that are valid for the entire general class of fractional operators. We can also study fractional integrals and derivatives with respect to functions.

math.AP↗
arXiv2021

Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions

Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu in [2]. In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators are proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities

math.AP↗
arXiv2020

Inequalities of Chebyshev-Pólya-Szegö Type via Generalized Proportional Fractional Integral Operators

This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Pólya-Szeg% ö-Chebyshev type obtained with the help of Generalized Proportional Fractional integral operators. The results have been performed by using Generalized Proportional Fractional integral operators, some classical inequalities such as AM-GM inequality, Cauchy-Schwarz inequality and Taylor series expansion of exponential function. The findings give new approaches to some types of inequalities that have involving the product of two functions in inequality theory.

math.GM↗
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↗
arXiv2012

Simpson Type Inequalities for Q-Class Functions

In this paper, we obtain some Simpson type inequalities for functions whose second derivatives absolute value or q-th power of them are Q-class functions. Also we give applications to numerical integration.

math.CA↗
arXiv2011

On the Coordinated Convex Functions

In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.

math.CA↗