Results 1 to 10 of about 84 (45)

An application of matrix inequalities to certain functional inequalities involving fractional powers [PDF]

Journal of Inequalities and Applications, 2012
We will show certain functional inequalities involving fractional powers, making use of the Furuta inequality and Tanahashi’s argument.MSC:26D07, 26A09, 39B62, 47A63.
Keiichi Watanabe
semanticscholar   +4 more sources

On a relation between Schur, Hardy-Littlewood-Pólya and Karamata’s theorem and an inequality of some products of xp−1 derived from the Furuta inequality [PDF]

Journal of Inequalities and Applications, 2013
We show a functional inequality of some products of xp−1 as an application of an operator inequality. Furthermore, we will show it can be deduced from a classical theorem on majorization and convex functions.MSC:26D07, 26A09, 26A51, 39B62, 47A63.
Keiichi Watanabe
semanticscholar   +4 more sources

A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

Open Mathematics, 2023
In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
doaj   +1 more source

Sharp inequalities related to the constant e

Journal of Inequalities and Applications, 2014
The aim of this work is to extend the results obtained by Batir and Cancan in (Int. J. Math. Educ. Sci. Technol. 40(8):1101-1109, 2009).MSC:26A09, 33B10, 26D99.
Yue Hu, C. Mortici
semanticscholar   +2 more sources

On an open problem of Feng Qi and Bai-Ni Guo

, 2020
In this work, we investigate an open problem posed by Feng Qi and Bai-Ni Guo in their paper ”Complete monotonicities of functions involving the gamma and digamma functions [7]”. Mathematics subject classification (2010): 26A09, 33B10, 26A48.
M. Bouali
semanticscholar   +1 more source

Some Estimations Čebyšev-Grüss Type Inequalities Involving Functions and their Derivatives

Open Journal of Mathematical Sciences, 2018
In this paper, some inequalities related to Čebyšev’s functional are proved. Mathematics Subject Classification: 26A09, 26D15.
M. Sarıkaya, S. Kaplan
semanticscholar   +1 more source

Estimates for the arctangent function related to Shafer's inequality

, 2014
The aim of this article is to give new refinements and sharpenings of Shafer’s inequality involving the arctangent function. These are obtained by means of a suitable change of variables which makes the computations much easier than the classical ...
C. Mortici, H. Srivastava
semanticscholar   +1 more source

An explicit formula for derivative polynomials of the tangent function

Acta Universitatis Sapientiae: Mathematica, 2017
In the paper, the authors derive an explicit formula for derivative polynomials of the tangent function, deduce an explicit formula for tangent numbers, pose an open problem about obtaining an alternative and explicit formula for derivative polynomials ...
Qi Feng, Guo Bai-Ni
doaj   +1 more source

ON A NEW FAMILY OF BIVARIATE MEANS II

, 2018
Lower and upper bounds as well as inequalities satisfied by members of a family of bivariate means, introduced recently by this author in [18], are established. In particular, optimal convex combinations bounds are obtained.
E. Neuman
semanticscholar   +1 more source

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source