Web22 mrt. 2024 · These inequalities are of great interest for many researchers, there have been lots of papers discussing the generalizations, refinements and variations of Becker-Stark and Cusa-Huygens inequalities and relevant topics over the past decades, see [5, 8, 10,11,12,13,14,15,16,17] and references cited therein. WebWe present elementary proofs of the inequalities of Huygens, Cusa, and Wilker, using visual proofs of several simpler inequalities and integral calculus. [Mismatch] …
[PDF] Some new estimates of precision of Cusa-Huygens and Huygens …
Web8 aug. 2024 · The Huygens's inequality it's just privet case of the Holder's inequality for n sequences of the length two. I think, it's better to use Holder in any case: By Holder ( 1 + … WebThe famous Huygens' trigonometric inequality (see e.g., [ 1 – 3 ]) states that for all one has The hyperbolic version of inequality ( 1.1) has been established recently by Neuman and Sándor [ 3 ]: Let be two positive real numbers. The logarithmic and identric means of and … mobility industry 中文
Integral Inequalities Involving Strictly Monotone Functions
Web15 mrt. 2014 · The natural approach of Wilker–Cusa–Huygens inequalities Math Inequal Appl. (2011) E. Neuman On Wilker and Huygens type inequalities Math. Inequal. Appl. (2012) E. Neuman et al. On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa–Huygens, Wilker and Huygens inequalities Math. … WebHuygens type inequalities. Hyperbolic versions will be pointed out, too. 1 Introduction In recent years the trigonometric inequality sinx x < cosx+2 3, 0 < x < π 2 (1) among with … WebChristiaan Huygens FRS Huygens by Caspar Netscher (1671), Museum Boerhaave, Leiden Born (1629-04-14) 14 April 1629 The Hague, Dutch Republic Died 8 July 1695 (1695-07-08) (aged 66) The Hague, Dutch Republic Alma mater University of Leiden University of Angers Known for List Aerial telescope Balance spring Birefringence … mobility indracompany es