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On Some New Ostrowski–Mercer-Type Inequalities for Differentiable Functions
| Content Provider | MDPI |
|---|---|
| Author | Sial, Ifra Bashir Patanarapeelert, Nichaphat Ali, Muhammad Aamir Budak, Hüseyin Sitthiwirattham, Thanin |
| Copyright Year | 2022 |
| Description | In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some Ostrowski–Mercer-type inequalities for differentiable convex functions. It is also demonstrated that the newly established inequalities are generalizations of some of the Ostrowski inequalities established inside the literature. There are also some applications to the special means of real numbers given. |
| Starting Page | 132 |
| e-ISSN | 20751680 |
| DOI | 10.3390/axioms11030132 |
| Journal | Axioms |
| Issue Number | 3 |
| Volume Number | 11 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-03-14 |
| Access Restriction | Open |
| Subject Keyword | Axioms Mathematical Social Sciences Ostrowski Inequality Jensen–mercer Inequality Convex Functions |
| Content Type | Text |
| Resource Type | Article |
