Results 31 to 40 of about 2,727,646 (335)
Certain estimates of Turán’s-type for the maximum modulus of the polar derivative of a polynomial
We establish some lower bound estimates for the maximum modulus of the polar derivative of a polynomial on the unit disk under the assumption that the polynomial has all zeros in another disk.
G. Milovanović, A. Mir, Abrar Ahmad
semanticscholar +1 more source
On Bernstein-type inequalities for polynomials involving the polar derivative
. In this paper, we establish some upper bound estimates for the polar derivative of a polynomial not vanishing in a disk | z | < k , k (cid:2) 1 with a zero of multiplicity s , 0 (cid:3) s (cid:3) n − 1 at the origin.
A. Hussain, A. Mir, Abrar Ahmad
semanticscholar +1 more source
American Polar Society Symposium 2003 [PDF]
Women's Roles in Polar Regions: Past, Present, and Future. American Polar Society Symposium 2003. Byrd Polar Research Center, The Ohio State University, Columbus, Ohio, October 9-10, 2003.Byrd Polar Research Center, The Ohio State UniversityAmerican ...
Byrd Polar Research Center
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Dissymmetric 1,3-diphenylallene derivative 3 connected with 4,5-bis(methyl-thio)tetrathiafulvalenyl and 1-pyrenyl substituents was prepared and characterized. The molecular structure was determined by X-ray crystallographic analysis.
Masashi Hasegawa +5 more
doaj +1 more source
Inequalities for the polar derivative of a polynomial [PDF]
Let P(z) be a polynomial of degree n having all its zeros in $$|z|\le 1$$ , then according to Turan (Compositio Mathematica 7:89–95, 2004) $$\begin{aligned} \max \limits _{|Z|=1}|P'(z)|\ge ...
M. H. Gulzar, B. A. Zargar, Rubia Akhter
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A note on the zeros of polar derivative of a polynomial with complex coefficients
In [4, 7], Enestrom Kakeya theorem has stated as the following.
K. P. Kumar, B. K. Reddy
semanticscholar +1 more source
This study explores a binary solvent system composed of biobased Cyrene and its derivative Cygnet 0.0 for application in membrane technology and in biocatalytic synthesis of polyesters.
R. Milescu +8 more
semanticscholar +1 more source
Deriving polarity from granularity
In this paper, we present a way to unify Positive Polarity Items formed with some NP and minimizers, such as lift a finger. The connection is made via granularity properties of the two classes of polarity sensitive expressions. We begin with an observation in Strawson 1974 that the use of some NP involves an inference about the availability of a more ...
Goncharov, Julie, Wolf, Lavi
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Ichnodiversity in the eastern Canadian Arctic in the context of polar microbioerosion patterns
Studies of marine microbioerosion in polar environments are scarce. They include our recent investigations of bioerosion traces preserved in sessile balanid skeletons from the Arctic Svalbard archipelago and the Antarctic Ross Sea.
Wisshak, Max +4 more
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Some Zygmund-type integral inequalities for the polar derivatives of complex polynomials, inspired by the classical Bernstein-type inequalities that relate the uniform norms of polynomials and their derivatives on the unit circle, are investigated.
Gradimir V. Milovanović, Abdullah Mir
doaj +1 more source

