54 citations · 143 across the 28 of their papers we have counts for
30 papers
On Minkowski Inequalities Involving Fractional Calculus With General Analytic Kernels
Erdal Gül, Ahmet Ocak Akdemir, Abdüllatif Yalçın
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 k…
Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions
Ahmet Ocak Akdemir, Ali Karaoglan, Maria Alessandra Ragusa +1
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defi…
Inequalities of Chebyshev-Pólya-Szegö Type via Generalized Proportional Fractional Integral Operators
Saad Ihsan Butt, Ahmet Ocak Akdemir, Alper Ekinci +1
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 th…
Inequalities via s-convexity and log-convexity
Ahmet Ocak Akdemir, Merve Avci Ardic, M. Emin Özdemir
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 inte…
On The Coordinated g-convex Dominated Functions
M. Emin Özdemir, Alper Ekinci, A. Ocak Akdemir
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 r…
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…