Name
Title | ||
|---|---|---|
Some New Simpson's-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators |
Abstract | ||
|---|---|---|
From the past to the present, various works have been dedicated to Simpson's inequality for differentiable convex functions. Simpson-type inequalities for twice-differentiable functions have been the subject of some research. In this paper, we establish a new generalized fractional integral identity involving twice-differentiable functions, then we use this result to prove some new Simpson's-formula-type inequalities for twice-differentiable convex functions. Furthermore, we examine a few special cases of newly established inequalities and obtain several new and old Simpson's-formula-type inequalities. These types of analytic inequalities, as well as the methodologies for solving them, have applications in a wide range of fields where symmetry is crucial. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.3390/sym13122249 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
Simpson-type inequalities, convex function, fractional integrals | Journal | 13 |
Issue | Citations | PageRank |
12 | 0 | 0.34 |
References | Authors | |
0 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Muhammad Aamir Ali | 1 | 0 | 4.39 |
| Hasan Kara | 2 | 0 | 1.35 |
| Jessada Tariboon | 3 | 0 | 0.68 |
| Suphawat Asawasamrit | 4 | 0 | 0.68 |
| Hüseyin Budak | 5 | 0 | 1.69 |
| Fatih Hezenci | 6 | 0 | 0.34 |