Results 21 to 30 of about 83 (82)

Sharper upper bounds on maximum modulus for rational functions

Demonstratio Mathematica
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, Soraisam Robinson, Chanam Barchand   +2 more
doaj   +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

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

Computation of the zeros of a quaternionic polynomial using matrix methods

Arab Journal of Basic and Applied Sciences
In a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques.
N. A. Rather, Tanveer Bhat, Ishfaq Dar, Bilal Khan, Arjika Sama   +4 more
doaj   +1 more source

Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]

, 2013
MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in
Hachani, M. A.
core  

Evaluation of filaggrin 2 expression in dogs with atopic dermatitis before and after oclacitinib maleate administration

Veterinary Dermatology, Volume 36, Issue 4, Page 453-461, August 2025.
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, Tássia Ferreira, Fernanda Borek, Domenico Santoro, Lluis Ferrer, Marconi Farias   +5 more
wiley   +1 more source

Some inequalities for maximum modules of polynomials

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 233-238, 1991., 1990
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

Comparison of the in vitro antibiofilm activities of otic cleansers against canine otitis externa pathogens

Veterinary Dermatology, Volume 36, Issue 2, Page 148-158, April 2025.
Background – Biofilm production by canine otitis externa (COE) pathogens and resistance development to multiple antimicrobials are commonly reported problems in veterinary practice. The use of adjuvants to disrupt biofilms may be a viable adjunctive therapy.
Bhumika F. Savaliya, Sorae Kim, Tania Veltman, Darren J. Trott   +3 more
wiley   +1 more source

Remainders of power series

International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 239-250, 1979., 1979
Suppose has radius of convergence R and . Suppose |z1| < |z2| < R, and T is either z2 or a neighborhood of z2. Put S = {N | σN(z1) > σN(z) for zϵT}. Two questions are asked: (a) can S be cofinite? (b) can S be infinite? This paper provides some answers to these questions. The answer to (a) is no, even if T = z2.
J. D. McCall, G. H. Fricke, W. A. Beyer
wiley   +1 more source

Integral mean estimates of Turán-type inequalities for the polar derivative of a polynomial with restricted zeros

Open Mathematics
In this article, we extend inequalities concerning the polar derivative of a polynomial to integral mean for the class of polynomials with s-fold zero at the origin and the remaining zeros inside some closed disk of radius kk for k≥1k\ge 1 and k≤1k\le 1,
Singha Nirmal Kumar, Chanam Barchand
doaj   +1 more source