WILKER’S, CUSA–HUYGENS’, AND FINK–MORTICI’S TYPE INEQUALITIES FOR PARABOLIC TRIGONOMETRIC FUNCTIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564378" target="_blank" >RIV/60162694:G43__/26:00564378 - isvavai.cz</a>
Result on the web
<a href="https://jmi.ele-math.com/19-05/Wilker-s,-Cusa-Huygens-,-and-Fink-Mortici-s-type-inequalities-for-parabolic-trigonometric-functions" target="_blank" >https://jmi.ele-math.com/19-05/Wilker-s,-Cusa-Huygens-,-and-Fink-Mortici-s-type-inequalities-for-parabolic-trigonometric-functions</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7153/jmi-2025-19-05" target="_blank" >10.7153/jmi-2025-19-05</a>

Result language
angličtina
Original language name
WILKER’S, CUSA–HUYGENS’, AND FINK–MORTICI’S TYPE INEQUALITIES FOR PARABOLIC TRIGONOMETRIC FUNCTIONS
Original language description
Parabolic trigonometric functions (PTF) have been recently defined as functions of an area lying on a parabolic circle. In this paper, we begin with an investigation into PTF’s prop- erties as these functions still need to be sufficiently understood. We find a precise formulation of Wilker’s inequality together with Fink-Mortici’s type inequality for PTF. Furthermore, we conjecture the proper form of Cusa-Huygens’ inequality for PTF and find both upper and lower bounds on this inequality.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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