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Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions
- Source :
- Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-12 (2020)
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving the k-generalized digamma and polygamma functions.
- Subjects :
- Pure mathematics
Applied Mathematics
lcsh:Mathematics
010102 general mathematics
Mathematics::Classical Analysis and ODEs
Monotonic function
Complete monotonicity
lcsh:QA1-939
01 natural sciences
010101 applied mathematics
Digamma function
Inequality
Yield (chemistry)
Discrete Mathematics and Combinatorics
0101 mathematics
Analysis
Mathematics
Generalized k-gamma and k-polygamma functions
Subjects
Details
- Language :
- English
- Volume :
- 2020
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....3cb1b3e6ff4bdd12dcd91568298447ed