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, (╬▒, 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


Download: MMN-3712