ON THE INVARIANCE OF GENERALIZED QUASIARITHMETIC MEANS

Qian Zhang; Lin Li

doi:10.11948/20220380

2023 Volume 13 Issue 3

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Qian Zhang, Lin Li. ON THE INVARIANCE OF GENERALIZED QUASIARITHMETIC MEANS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1581-1596. doi: 10.11948/20220380

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Qian Zhang, Lin Li. ON THE INVARIANCE OF GENERALIZED QUASIARITHMETIC MEANS[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1581-1596. doi: 10.11948/20220380

ON THE INVARIANCE OF GENERALIZED QUASIARITHMETIC MEANS

Qian Zhang^1,,
Lin Li^2, ,

1.
School of Mathematics and Physics, Southwest University of Science and Technology, Qinglong Avenue, 621010 Mianyang, China
2.
Faculty of Mathematics, Jiaxing University, Guangqiong Road, 314001 Jiaxing, China

Author Bio: Email: qianmo2008@126.com(Q. Zhang)
Corresponding author: Email: matlinl@zjxu.edu.cn(L. Li)
Fund Project: The authors were supported by National Natural Science Foundation of China (12126369, 12126358)

Abstract

Abstract

The generalized quasiarithmetic mean is generated by two functions and one probability measure, and includes quasiarithmetic, Cauchy and Bajraktarević meas. In this paper, we investigate the invariance of the arithmetic mean with respect to generalized quasiarithmetic means and get some solutions of it under high-order differentiability assumptions.
- Bajraktarević mean /
- generalized quasiarithmetic means /
- invariance equation /
- functional equation
MSC: 26E60, 39B22

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References

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