|
| A New Approach to Hermite-Hadamard-Type Inequality with Proportional Caputo-Hybrid Operator |
| |
| View Full Text View/Add Comment Download reader |
| KeyWord:Hermite-Hadamard-type inequalities, trapezoid-type inequalities, convex functions, proportional Caputo-Hybrid operator |
| Author Name | Affiliation | | \.Izzettin Dem\.ir | Department of Mathematics, Faculty of Science and Arts, Duzce University, 81620 Duzce, T\"{u}rkiye | | Tuba Tun\c c | Department of Mathematics, Faculty of Science and Arts, Duzce University, 81620 Duzce, T\"{u}rkiye | | Mehmet Zeki Sarıkaya | Department of Mathematics, Faculty of Science and Arts, Duzce University, 81620 Duzce, T\"{u}rkiye |
|
| Hits: 195 |
| Download times: 127 |
| Abstract: |
| Fractional calculus plays a crucial role in mathematics and applied sciences as it extends classical analysis, overcoming many of its constraints. Moreover, using the innovative hybrid fractional operator, which merges the proportional and Caputo operators, is beneficial in numerous domains of computer science and mathematics. In this study, we focus on the proportional Caputo-hybrid operator due to its wide range of applications. Firstly, we present a new extension of Hermite-Hadamard-type inequalities for the proportional Caputo-hybrid operator and derive an identity. Then, utilizing this novel generalized identity, we establish significant integral inequalities associated with the right-hand side of Hermite-Hadamard-type inequalities for the proportional Caputo-hybrid
operator. Furthermore, we provide illustrative examples accompanied by the graphs to demonstrate the newly established inequalities. |
|
|
|
