Proof of a conjecture of Z-W Sun on ratio monotonicity
Abstract In this paper, we study the log-behavior of a new sequence { S n } n = 0 ∞ $\{S_{n}\} _{n=0}^{\infty}$ , which was defined by Z-W Sun. We find that the sequence is log-convex by using the interlacing method. Additionally, we consider ratio log-behavior of { S n } n = 0 ∞ $\{S_{n}\}_{n=0}^{\...
Main Authors: | Brian Yi Sun, Yingying Hu, Baoyindureng Wu |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2016-11-01
|
Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-016-1221-y |
Similar Items
-
On a ratio monotonicity conjecture of a new kind of numbers
by: Brian Yi Sun
Published: (2018-01-01) -
The ratio log-concavity of the Cohen numbers
by: Eric H Liu, et al.
Published: (2016-11-01) -
Skew log-concavity of the Boros-Moll sequences
by: Eric H Liu
Published: (2017-05-01) -
Inequalities for some basic hypergeometric functions
by: Kalmykov S. I., et al.
Published: (2019-01-01) -
Geometry of Manifolds According to Convex Constraints (Neighborhood & Co - dimenstion)
by: Khaled Abdel Salam Atia Ismail
Published: (2020-03-01)