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Some New Post-Quantum Integral Inequalities Involving Twice (p, q)-Differentiable ψ-Preinvex Functions and Applications
| Content Provider | MDPI |
|---|---|
| Author | Vivas-Cortez, Miguel Awan, Muhammad Uzair Talib, Sadia Kashuri, Artion Noor, Muhammad Aslam |
| Copyright Year | 2021 |
| Description | The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite–Hadamard’s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well. |
| Starting Page | 283 |
| e-ISSN | 20751680 |
| DOI | 10.3390/axioms10040283 |
| Journal | Axioms |
| Issue Number | 4 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-10-29 |
| Access Restriction | Open |
| Subject Keyword | Axioms Hermite–hadamard Inequality Hölder's Inequality Power Mean Inequality Ψ-preinvex Functions Post-quantum Calculus Special Means Bounded Functions |
| Content Type | Text |
| Resource Type | Article |