Results 21 to 30 of about 86 (85)
A new inequality for a polynomial
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 11, Page 679-684, 2001., 2001 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
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Sharper upper bounds on maximum modulus for rational functions
Demonstratio MathematicaWe 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
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Application of Riemann-Liouville fractional integral to fuzzy differential subordination of analytic univalent functions [PDF]
This paper focuses on geometric function theory, a subfield of complex analysis that has been adapted for fuzzy set analysis. A number of novel findings that are applicable to this class are found by applying the concept of fuzzy differential ...
JIRAGE, Priyanka D. +2 more
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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 +3 more
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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
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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
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 +5 more
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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
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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 +3 more
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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
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