Results 31 to 40 of about 74 (69)

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

Refinements of inequalities on extremal problems of polynomials

Open Mathematics
Let H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni, Singh Thangjam Birkramjit, Chanam Barchand   +2 more
doaj   +1 more source

Smale's Conjecture on Mean Values of Polynomials and Electrostatics [PDF]

, 2007
2000 Mathematics Subject Classification: Primary 30C10, 30C15, 31B35.A challenging conjecture of Stephen Smale on geometry of polynomials is under discussion. We consider an interpretation which turns out to be an interesting problem on equilibrium of an
Dimitrov, Dimitar
core  

Crown ethers as stabilising ligands for oxonium ions

, 2008
Oxonium ions (H(+)center dot(H(2)O)(n)) can be stabilised and isolated in the solid state by using crown ethers of differing sizes. Crown ethers can act as very good hydrogen bond acceptors for the binding of oxonium ions.
Junk, Peter C.
core   +1 more source

Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials [PDF]

, 2012
MSC 2010: 30C10, 32A30, 30G35The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2],
Apostolova, Lilia N.
core  

A generalization of an inequality of Zygmund

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 289-296, 1993.
R. Peretz
wiley   +1 more source

Tools and scores for perioperative pulmonary, renal, hepatobiliary, hematological, and surgical site infection risk assessment: an update. [PDF]

Rev Col Bras Cir, 2022
Moraes CMT, Corrêa LM, Procópio RJ, Carmo GALD, Navarro TP.   +4 more
europepmc   +1 more source

A New Perspective on Adsorbent Materials Based Impregnated MgSiO₃ with Crown Ethers for Palladium Recovery. [PDF]

Int J Mol Sci, 2021
Ciopec M, Grad O, Negrea A, Duteanu N, Negrea P, Paul C, Ianăși C, Mosoarca G, Vancea C.   +8 more
europepmc   +1 more source

On semiclassical linear functionals: the symmetric companion

, 2002
17 pages, no figures.-- MSC2000 codes: Primary: 42C05; Secondary: 30C10.MR#: MR1931342 (2003h:42037)In this paper we analyze the symmetric companion of a quasi-definite linear functional.
Atia, Mohamed Jalel, Marcellán, Francisco, Arvesú Carballo, Jorge, Marcellán Español, Francisco José, Arvesú, Jorge   +4 more
core  

Bounding the Elliptic Mahler Measure

, 1997
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional Mahler measure (via the length of the polynomial). These bounds are essentially sharp.
Christopher Pinner, Chris Pinner
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