Jensen–Steffensen inequality for diamond integrals,its converse and improvements via Green function and Taylor’s formula |
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| Authors: | Ammara Nosheen Rabia Bibi Josip Pečarić |
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| Institution: | 1.Department of Mathematics,University of Lahore (Sargodha Campus),Sargodha,Pakistan;2.Department of Mathematics,Women University of Azad Jammu and Kashmir,Bagh,Pakistan;3.Faculty of Textile Technology,University of Zagreb,Zagreb,Croatia |
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| Abstract: | In this paper we define the Jensen–Steffensen inequality and its converse for diamond integrals. Then we give some improvements of these inequalities using Taylor’s formula and the Green function. We investigate bounds for the identities related to improvements of the Jensen–Steffensen inequality and its converse. |
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