MMN-3712
New inequalities of Wirtinger type for different kinds of convex functions
- Ali Karaoglan,
Department of Mathematics, Faculty of Sciences and Arts, Ordu University, Ordu, Turkey,
alikaraoglan@odu.edu.tr - Erhan Set,
Department of Mathematics, Faculty of Sciences and Arts, Ordu University, Ordu, Turkey,
erhanset@yahoo.com - Ahmet Ocak Akdemir,
Department of Mathematics, Faculty of Sciences and Letters, Agri Ibrahim Cecen University, Agri, Turkey,
ahmetakdemir@agri.edu.tr - Eda Sahin,
Department of Mathematics, Faculty of Sciences and Arts, Ordu University, Ordu, Turkey,
edaerkoc52@gmail.com
Abstract
T.Z. Mirkovic´ [14] obtained new inequalities of Wirtinger type by using some clas-
sical inequalities and special means for convex function. So in this paper, we obtain some in-
equalities of Wirtinger type for s-convex function, m-convex function, (α, m)-convex function,
quasi-convex function and P function. Also several special cases are discussed, which can be
deduced from our main results.
Vol. 23 (2022), No. 2, pp. 741-754
DOI: 10.18514/MMN.2022.3712