Results 11 to 20 of about 199 (44)

Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. [PDF]

Adv Differ Equ, 2018
In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities.
Malešević B, Lutovac T, Rašajski M, Mortici C.   +3 more
europepmc   +2 more sources

Comparison between clinical evaluations and laboratory findings and the impact of biofilm on antimicrobial susceptibility in vitro in canine otitis externa

Veterinary Dermatology, Volume 34, Issue 6, Page 586-596, December 2023., 2023
Background – In clinical practice, the diagnosis of otitis externa (OE) normally is based on otoscopic examination and cytological findings, followed by empirical treatment with topic drugs. Biofilm‐producing bacteria are frequently present in OE, even if its presence is often underdiagnosed. Hypothesis/Objectives – The primary aim of this study was to
Luca Luciani, Valentina Stefanetti, Elisa Rampacci, Pietro Gobbi, Laura Valentini, Raffaella Capuozzo, Fabrizio Passamonti   +6 more
wiley   +1 more source

Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

Annales Mathematicae Silesianae, 2023
Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J., Thool Sumedh B., Chesneau Christophe, Dhaigude Ramkrishna M.   +3 more
doaj   +1 more source

Inequalities for the generalized trigonometric and hyperbolic functions

Open Mathematics, 2020
In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics.
Ma Xiaoyan, Si Xiangbin, Zhong Genhong, He Jianhui   +3 more
doaj   +1 more source

Some Inequalities for Generalized Hyperbolic Functions

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
doaj   +1 more source

Monotonicity results and bounds for the inverse hyperbolic sine [PDF]

, 2009
In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine.
B-N Guo, B-N Guo, Bai-Ni Guo, BJ Malešević, F Qi, F Qi, F Qi, F Qi, Feng Qi, GTF de Abreu, J-L Zhao, L Zhu, Qiu-Ming Luo, S-Q Zhang, W Pan   +14 more
core   +2 more sources

Sharpness of Wilker and Huygens type inequalities [PDF]

, 2012
We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities.
Chen, CP, Cheung, WS
core   +1 more source

Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]

, 2013
In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
core   +1 more source

Some sharp inequalities involving Seiffert and other means and their concise proofs [PDF]

, 2012
In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic ...
Jiang, Wei-Dong, Qi, Feng
core   +1 more source

On some inequalities for the identric, logarithmic and related means [PDF]

, 2015
We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.Comment:
Bhayo, Barkat Ali, Sándor, József
core   +2 more sources