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Generalizations of Hermite-Hadamard, Bullen and Simpson inequalities via h-convexity.
- Source :
-
General Mathematics . 2022, Vol. 30 Issue 1, p77-95. 19p. - Publication Year :
- 2022
-
Abstract
- In this paper, the authors established a new identity for differentiable functions, afterward, they obtained some new general inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. On the other hand, a general inequality is studied, which gives Hermite-Hadamard, Bullen and Simpson inequalities. Also, they gave some applications for special means for arbitrary positive numbers. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12215023
- Volume :
- 30
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- General Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 164733868
- Full Text :
- https://doi.org/10.2478/gm-2022-0006