Name
Abstract | ||
|---|---|---|
In this paper, it is shown that the Hadamard integral inequality for r-convex functions is not satisfied in the fuzzy context. Using the classical Hadamard integral inequality, we give an upper bound for the Sugeno integral of r-convex functions. In addition, we generalize the results related to the Hadamard integral inequality for Sugeno integral from 1-convex functions (ordinary convex functions) to r-convex functions. We present a geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s00500-015-1934-8 | Soft Computing - A Fusion of Foundations, Methodologies and Applications |
Keywords | DocType | Volume |
Sugeno integral, The Hadamard inequality, r-convex function, Seminormed Sugeno integral | Journal | 20 |
Issue | ISSN | Citations |
8 | 1432-7643 | 4 |
PageRank | References | Authors |
0.43 | 19 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| s abbaszadeh | 1 | 10 | 1.92 |
| Madjid Eshaghi Gordji | 2 | 7 | 2.23 |