arXiv subjects

Jozsef Sandor

Publications and source records attributed to Jozsef Sandor.

5 recordsLinked to original sources

arXiv2014

On classical inequalities of trigonometric and hyperbolic functions

This article is the collection of the six research papers, recently written by the authors. In these papers authors refine the inequalities of trigonometric and hyperbolic functions such as Adamovic-Mitrinovic inequality, Cusa-Huygens inequality, Lazarevic inequality, Huygens inequality, Jordan's inequality, Carlson's inequality, Wilker's inequality, Redheffer's inequality, Wilker-Anglesio inequality, Becker-Stark inequality, Kober's inequality, Shafer's inequality and Shafer-Fink's inequality. The relation between trigonometric and hyperbolic functions has been built too. In the last paper, the sharp upper and lower bounds for the classical beta function has been established by studying the Jordan's inequality.

math.CA↗

arXiv2011

Inequalities for multiplicative arithmetic functions

We study arithmetic inequalities for multiplicative, sub(super)-multiplicative, sub(super)-homogeneous functions. Applications for the classical arithmetic functions are pointed out.

math.NT↗

arXiv2011

On bi-unitary harmonic numbers

We introduce notions of bi-unitary, bi*-unitary and bi**-unitary harmonic numbers, along with their preliminary study.

math.NT↗

arXiv2011

A note on certain inequalities for bivariate means

We obtain simple proofs of certain inequalites for bivariate means.

math.CA↗

arXiv2011

Trigonometric and Hyperbolic Inequalities

We prove various new trigonometric and hyperbolic inequalities of Jordan, Wilker, Huygens or Cusa-Huygens type. Connections with bivariate means, as well as monotonicity and convexity properties are pointed out, too.

math.CA↗