Results 1 to 10 of about 257 (49)

An accurate approximation formula for gamma function. [PDF]

J Inequal Appl, 2018
In this paper, we present a very accurate approximation for gamma function: \begin{equation*} \Gamma \left( x+1\right) \thicksim \sqrt{2\pi x}\left( \dfrac{x}{e}\right) ^{x}\left( x\sinh \frac{1}{x}\right) ^{x/2}\exp \left( \frac{7}{324}\frac{1}{ x^{3 ...
Yang ZH, Tian JF.
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

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

Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces

Journal of Function Spaces, Volume 7, Issue 1, Page 61-89, 2009., 2009
In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions.
Natasha Samko, Vladimir D. Stepanov
wiley   +1 more source

A Note on Generating Functions for Hausdorff Moment Sequences [PDF]

, 2008
For functions $f$ whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of $w(y):=|f(\gamma+iy)|$ for $y>0$ ($\gamma\leq1$ fixed)
Roth, Oliver, Ruscheweyh, Stephan, Salinas, Luis   +2 more
core   +1 more source

A new proof of monotonicity for extended mean values

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 417-421, 1999., 1999
In this article, a new proof of monotonicity for extended mean values is given.
Feng Qi, Sen-Lin Xu, Lokenath Debnath
wiley   +1 more source

Monotone and convex H*‐algebra valued functions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley   +1 more source

On the substitution rule for Lebesgue-Stieltjes integrals [PDF]

, 2012
We show how two change-of-variables formulae for Lebesgue-Stieltjes integrals generalize when all continuity hypotheses on the integrators are dropped.
Apostol, Bennewitz, Bogachev, Durrett, Gerald Teschl, Kostenko, Leader, Lebesgue, Neil Falkner, Revuz, Rudin, Stieltjes, Talvila   +12 more
core   +5 more sources

Uniqueness of nontrivially complete monotonicity for a class of functions involving polygamma functions [PDF]

, 2010
For $m,n\in\mathbb{N}$, let $f_{m,n}(x)=\bigr[\psi^{(m)}(x)\bigl]^2+\psi^{(n)}(x)$ on $(0,\infty)$. In the present paper, we prove using two methods that, among all $f_{m,n}(x)$ for $m,n\in\mathbb{N}$, only $f_{1,2}(x)$ is nontrivially completely ...
Abramowitz M., Bai-Ni Guo, Chen C.-P., Feng Qi, Guo B.-N., H. M. Srivastava, Ismail M. E.H., Mitrinović D. S., Qi F., Srivastava H. M., Widder D. V.   +10 more
core   +1 more source

Two monotonic functions involving gamma function and volume of unit ball

, 2010
In present paper, we prove the monotonicity of two functions involving the gamma function $\Gamma(x)$ and relating to the $n$-dimensional volume of the unit ball $\mathbb{B}^n$ in $\mathbb{R}^n$.Comment: 7 ...
Anderson G. D., Bai-Ni Guo, Feng Qi, Guo B.-N., Huo Z.-H., Niu D.-W., Qi F., Qi F., Qi F., Qi F., Qi F., Qi F., Qi F.   +12 more
core   +1 more source