Results 11 to 20 of about 71 (71)
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
We investigate the relationships between the infinitely many characteristic zeros (or modes) of linear systems subject to point delays and their delay‐free counterparts based on algebraic results and theory of analytic functions. The cases when the delay tends to zero or to infinity are emphasized in the study.
M. De La Sen, J. Jugo
wiley +1 more source
Some inequalities for rational function with prescribed poles and restricted zeros
In this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex
Soraisam Robinson +2 more
doaj +1 more source
Background: Canine atopic dermatitis (cAD) is a common, chronic skin condition characterised by epidermal barrier dysfunction, immune dysregulation and cutaneous dysbiosis. While “emollient plus” formulations are widely used in human atopic dermatitis, their role in cAD remains underexplored. Hypothesis/Objectives: To evaluate the clinical efficacy and
Beatriz Fernandes +8 more
wiley +1 more source
A new inequality for a polynomial
Let p(z)=a0+∑j=tnajzj be a polynomial of degree n, having no zeros in |z| < k, k ≥ 1 then it has been shown that for R > 1 and |z| = 1, |p(Rz) − p(z)| ≤ (Rn − 1)(1 + AtBtKt+1)/(1 + kt+1 + AtBt(kt+1 + k2t))max|z|=1|p(z)|−{1 − (1 + AtBtkt+1)/(1 + kt+1 + AtBt(kt+1 + k2t))}((Rn − 1)m/kn), where m = min|z|=k|p(z)|, 1 ≤ t < n, At = (Rt − 1)/(Rn − 1), and Bt =
K. K. Dewan, Harish Singh, R. S. Yadav
wiley +1 more source
Sharper upper bounds on maximum modulus for rational functions
We study upper bounds for rational functions r(z)=p(z)w(z) $r\left(z\right)=\frac{p\left(z\right)}{w\left(z\right)}$ , where w(z)=∏j=1n(z−λj),|λj|>1, $w\left(z\right)={\prod }_{j=1}^{n}\left(z-{\lambda }_{j}\right), \vert {\lambda }_{j}\vert { >}1,$ and
Thoudam Ranaranjan +2 more
doaj +1 more source
Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator
In this paper, we consider new extremal problems in the uniform norm between a univariate complex polynomial and its associated reciprocal polynomial involving a generalized B‐operator. Our first result deals with inequality for the upper bound of a polynomial having s‐fold zero at the origin governed by generalized B‐operator, and as applications of ...
Mayanglambam Singhajit Singh +3 more
wiley +1 more source
Integral mean estimates for polynomials whose zeros are within a circle
Let p(z) be a polynomial of degree n having all its zeros in |z| ≤ k; k ≤ 1, then for each r > 0, p > 1, q > 1 with p−1 + q−1 = 1, Aziz and Ahemad (1996) recently proved that n{∫02π|p(eiθ)|rdθ} 1/r≤{∫02π|1+keiθ|prdθ} 1/pr{∫02π|p′(eiθ)|qrdθ} 1/qr. In this paper, we extend the above inequality to the class of polynomials p(z)=anzn+∑v=μnan−vzn−v;1≤μ≤n ...
K. K. Dewan, Abdullah Mir, R. S. Yadav
wiley +1 more source
Background – Canine atopic dermatitis (cAD) is a chronic, inflammatory, multifactorial and pruritic disease. The presence of skin barrier impairment (e.g. filaggrin alterations), along with abnormal immune responses, can negatively impact cutaneous barrier function.
Wendie Roldan Villalobos +5 more
wiley +1 more source
Some inequalities for maximum modules of polynomials
A well‐known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree n, such that p(z) ≠ 0 in |z| < 1, then max|z|=R≥1|p(z)|≤(Rn+12)max|z|=1|p(z)|. In this paper we prove some generalizations and refinements of this result.
N. K. Govil
wiley +1 more source

