Results 11 to 20 of about 74,859 (265)
Inequalities for the Polar Derivative of a Polynomial
Journal of Inequalities and Applications, 2009 Let p(z) be a polynomial of degree n and for any real or complex number α, and let Dαp(z)=np(z)+(α−z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α.
M. Bidkham +2 more
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ON ZYGMUND–TYPE INEQUALITIES CONCERNING POLAR DERIVATIVE OF POLYNOMIALS [PDF]
Ural Mathematical Journal, 2021 Let \(P(z)\) be a polynomial of degree \(n\), then concerning the estimate for maximum of \(|P'(z)|\) on the unit circle, it was proved by S. Bernstein that \(\| P'\|_{\infty}\leq n\| P\|_{\infty}\).
Nisar Ahmad Rather +2 more
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Inequalities for the Polar Derivative of a Polynomial [PDF]
Abstract and Applied Analysis, 2012 For a polynomial 𝑝(𝑧) of degree 𝑛, we consider an operator 𝐷𝛼 which map a polynomial 𝑝(𝑧) into 𝐷𝛼𝑝(𝑧)∶=(𝛼−𝑧)𝑝′(𝑧)+𝑛𝑝(𝑧) with respect to 𝛼. It was proved by Liman et al. (2010) that if 𝑝(𝑧) has no zeros in |𝑧|
Ahmad Zireh
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Some generalized results of zeros of polar derivative of a polynomial [PDF]
Journal of Hyperstructures, 2021 In the present paper, we further generalize and extend various results on zeroes of polar derivatives of polynomials due toGulzar, Zargar and Akhter (2019), who gave extension and generalization of various results on Enestrom-Kakeya theorem established ...
Ram Milan Singh
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Stem cell-derived polarized hepatocytes [PDF]
Nature Communications, 2020 AbstractHuman stem cell-derived hepatocyte-like cells (HLCs) offer an attractive platform to study liver biology. Despite their numerous advantages, HLCs lack critical in vivo characteristics, including cell polarity. Here, we report a stem cell differentiation protocol that uses transwell filters to generate columnar polarized HLCs with clearly ...
Viet Loan Dao Thi +19 more
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REFINEMENT OF SOME BERNSTEIN TYPE INEQUALITIES FOR RATIONAL FUNCTIONS
Проблемы анализа, 2022 In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.
Idrees Qasim
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Frontiers in Microbiology, 2021 Polar flagella from mesophilic Aeromonas strains have previously been shown to be modified with a range of glycans. Mass spectrometry studies of purified polar flagellins suggested the glycan typically includes a putative pseudaminic acid like derivative;
Gabriel Forn-Cuní +8 more
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Deriving polarity from granularity
Semantics and Linguistic Theory, 2021 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 ...
Julie Goncharov, Lavi Wolf
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Some inequalities for the polar derivative of some classes of polynomials [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 In this paper, we investigate an upper bound of the polar derivative of a polynomial of degree where zeros are in and the remaining zeros are outside where .
Nuttapong Arunrat +1 more
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International Journal of Advanced Research in Science, Communication and Technology, 2023 In this paper certain polynomial inequalities for the polar derivative and the generalized polar derivative with restricted zeros are given, which generalize and refine some well-known polynomial inequalities due to Lax, Tura ́n, AlSaeedi, Rather, Ali, Shafi, and Dar and others.
null Adeeb T. Al-Saeedi +2 more
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