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SHARP DOUBLE-EXPONENT TYPE BOUNDS FOR THE LEMNISCATE SINE FUNCTION.
- Source :
-
Applicable Analysis & Discrete Mathematics . Apr2024, Vol. 18 Issue 1, p148-172. 25p. - Publication Year :
- 2024
-
Abstract
- In this paper, we will establish sharp inequalities of the lemniscate sine function and the so-called weighted (p, q)-exponential type function, of which the latter is an extension of the weighted Hölder mean. These results provide a systematic method for the previous obtained inequalities and give great improvements for bounds of the lemniscate sine function. As applications, several high accuracy approximations for the lemniscate sine function are also derived. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SINE function
*HYPERGEOMETRIC functions
*GAUSSIAN function
Subjects
Details
- Language :
- English
- ISSN :
- 14528630
- Volume :
- 18
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis & Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 177958556
- Full Text :
- https://doi.org/10.2298/AADM230417005Z