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On Qi’s Normalized Remainder of Maclaurin Power Series Expansion of Logarithm of Secant Function
- Source :
- Axioms, Vol 13, Iss 12, p 860 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- In the study, the authors introduce Qi’s normalized remainder of the Maclaurin power series expansion of the function lnsecx=−lncosx; in view of a monotonicity rule for the ratio of two Maclaurin power series and by virtue of the logarithmic convexity of the function (2x−1)ζ(x) on (1,∞), they prove the logarithmic convexity of Qi’s normalized remainder; with the aid of a monotonicity rule for the ratio of two Maclaurin power series, the authors present the monotonic property of the ratio between two Qi’s normalized remainders.
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 12
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1cd686565aeb4668879db72c4b8a31d7
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms13120860