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New Huygens and related trigonometric and hyperbolic inequalities
József Sándor 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.2
We offer new Huygens, Wilker, Cusa-Huygens, Wu-Srivastava type inequalities, which improve the existing results in the literature.
On some new Wilker and Huygens type trigonometric‐hyperbolic inequalities
J. Sándor 장전수학회 2012 Proceedings of the Jangjeon mathematical society Vol.15 No.2
The hyperbolic counterparts of the Wilker and Huygens trigonometric inequalities have been introduced by L. Zhu [5] and E. Neuman - J. S´andor [2]. Here we shall study certain new inequalities of Wilker and Huygens type, involving the trigonometric function sin x and the hyperbolic function sinh x. Multiplicative analogues of the stated inequalities are pointed out, too.
A note on the inequality of means
J. Sándor 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.2
We point out a family of refinement of the weighted arithmetic mean - geometric mean inequlity.
On some number-theoretical results by Farkas Bolyai and Janos Bolyai
J. Sándor 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.1
We study certain number-theoretical results discovered recently in sacttered manuscript of the two Bolyai. Connections with perfect numbers, arithmetical functions, congruences, or group-theory are pointed out.
József Sándor 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.1
Connections of an inequality of Klamkin with Stolarsky means and convexity are shown. An application to arithmetical func-tions is given.