Huseyin Budak
Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce-Turkey
[ 1 ] - On generalized Hermite-Hadamard inequality for generalized convex function
In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
[ 2 ] - On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications
In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.
[ 3 ] - Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order
This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application t...
[ 4 ] - Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
Co-Authors