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Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions

dc.creatorBagul, Yogesh J.
dc.creatorChesneau, Christophe
dc.date2019-04-01
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2116
dc.identifier10.4067/S0719-06462019000100021
dc.descriptionThe prime goal of this paper is to establish sharp lower and upper bounds for useful functions such as the exponential functions, with a focus on exp(−x2), the trigonometric functions (cosine and sine) and the hyperbolic functions (cosine and sine). The bounds obtained for hyperbolic cosine are very sharp. New proofs, refinements as well as new results are offered. Some graphical and numerical results illustrate the findings.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2116/1881
dc.rightsCopyright (c) 2019 CUBO, A Mathematical Journalen-US
dc.sourceCUBO, A Mathematical Journal; Vol. 21 No. 1 (2019); 21–35en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 21 Núm. 1 (2019); 21–35es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectExponential functionen-US
dc.subjecttrigonometric functionen-US
dc.subjecthyperbolic functionen-US
dc.titleSome New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functionsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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