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Hermite–Hadamard and Jensen-Type Inequalities for Harmonical (h 1 , h 2)-Godunova–Levin Interval-Valued Functions.
- Source :
- Mathematics (2227-7390); Aug2022, Vol. 10 Issue 16, p2970-2970, 16p
- Publication Year :
- 2022
-
Abstract
- There is no doubt that convex and non-convex functions have a significant impact on optimization. Due to its behavior, convexity also plays a crucial role in the discussion of inequalities. The principles of convexity and symmetry go hand-in-hand. With a growing connection between the two in recent years, we can learn from one and apply it to the other. There have been significant studies on the generalization of Godunova–Levin interval-valued functions in the last few decades, as it has tremendous applications in both pure and applied mathematics. In this paper, we introduce the notion of interval- valued harmonical (h<subscript>1</subscript>, h<subscript>2</subscript>)-Godunova–Levin functions. Using the new concept, we establish a new interval Hermite–Hadamard and Jensen-type inequalities that generalize the ones that exist in the literature. Additionally, we provide some examples to prove the validity of our main results. [ABSTRACT FROM AUTHOR]
- Subjects :
- JENSEN'S inequality
APPLIED mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 16
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 158892157
- Full Text :
- https://doi.org/10.3390/math10162970