Results 11 to 20 of about 75 (70)

Integral mean estimates for polynomials whose zeros are within a circle

Journal of Inequalities and Applications, 2011
Let P(z) be a polynomial of degree n having all its zeros in |z| ≤ K ≤ 1, then for each δ > 0, p > 1, q > 1 with 1 p + 1 q = 1 , Aziz and Ahmad (Glas Mat Ser III 31:229-237, 1996) proved that n ∫ ...
Shah WM, Singh Gulshan
doaj   +1 more source

Secondary Hypervalent I(III)···O Interactions:  Synthesis and Structure of Hypervalent Complexes of Diphenyl-λ³-iodanes with 18-Crown-6

, 2016
Reported here for the first time are the synthesis and characterization of supramolecular complexes between diaryl-λ3-iodanes and 18-crown-6 (18C6). Slow evaporation of solvents afforded 1:1 and 2:1 complexes between Ph2IBF4 and 18C6 as stable crystals ...
Motoo Shiro (1670407), Satoru Goto (2714452), Shigeru Sakamoto (2335945), Masahito Ochiai (2156452), Kentaro Yamaguchi (1415581), Norihiro Tada (411587), Kazunori Miyamoto (1466113), Takashi Suefuji (2675233)   +7 more
core   +5 more sources

A refinement of an inequality due to Ankeny and Rivlin [PDF]

, 2020
Let $p(z)= \sum_{\nu =0}^n a_\nu z^\nu$ be a polynomial of degree $n$, $ M(p,R):= \max_{|z|=R \ge 0} |p(z)|,$ and $M(p,1):=M(p)$. Then by well-known result due to Ankeny and Rivlin \cite{Ankeny}, we have M(p.R)≤(Rn+12)M(p), R≥1. In this paper, we sharpen
TRIPATHI, Dinesh, Dinesh Tripathi
core   +2 more sources

Trauma, immigration, and sexual health among Latina women: Implications for maternal–child well‐being and reproductive justice

Infant Mental Health Journal: Infancy and Early Childhood, Volume 40, Issue 5, Page 640-658, September/October 2019., 2019
ABSTRACT Latina immigrant women are vulnerable to traumatic stress and sexual health disparities. Without autonomy over their reproductive health and related decision‐making, reproductive justice is elusive. We analyzed behavioral health data from 175 Latina immigrant participants (M age = 35; range = 18–64) of the International Latino Research ...
Lisa R. Fortuna, Carmen Rosa Noroña, Michelle V. Porche, Cathi Tillman, Pratima A. Patil, Ye Wang, Sheri Lapatin Markle, Margarita Alegría   +7 more
wiley   +1 more source

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016
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, Davide Santospirito, Andrea Sala, Sara Flisi, Simone Taddei, Sandro Cavirani, Clotilde Silvia Cabassi   +6 more
wiley   +1 more source

LOCATION OF ZEROS OF A CLASS OF POLYNOMIALS

, 2017
<p>In this paper we consider a certain class of polynomials with certain conditions on their coefficients and find regions containing all or some of their zeros.</p> <p><strong>Mathematics Subject Classification:</strong>   
M.H. Gulzar*
core   +1 more source

Integral mean estimates for polynomials whose zeros are within a circle

International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 4, Page 231-235, 2001., 2001
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

Co‐convexial reflector curves with applications

International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 233-240, 1987., 1987
The concept of reflector curves for convex compact sets of reflecting type in the complex plane was introduced by the authors in a recent paper (to appear in J. Math. Anal. and Appln.) in their attempt to solve a problem related to Stieltjes and Van Vleck polynomials. Though, in the said paper, certain convex compact sets (e.g.
Abdallah M. Al-Rashed, Neyamat Zaheer
wiley   +1 more source

Ion–Dipole-Interaction-Driven Complexation of Polyethers with Polyviologen-Based Single-Ion Conductors

, 2019
The role of solvating polyethers on single-ion conduction and segmental dynamics is investigated for an amorphous main-chain polycation, polyviologen (PV), with two different [−(CH2)6– and −(CH2)10−] spacers and bis­(trifluoromethylsulfonyl)­imide (Tf2N–)
U Hyeok Choi (1782508), Harry W. Gibson (1994665), Ralph H. Colby (1477150), Taehoon Kim (79056), Minjae Lee (2086381)   +4 more
core   +1 more source

Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator

Journal of Mathematics, Volume 2026, Issue 1, 2026.
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, Madhav Prasad Poudel, Barchand Chanam, Pramita Mishra   +3 more
wiley   +1 more source