Results 1 to 10 of about 854,777 (264)
Inequalities for the Polar Derivative of a Polynomial [PDF]
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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Journal of Inequalities and Applications, 2020 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
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New antifungal and less toxic zwitterionic derivatives of 26-membered polyene antibiotic – pimaricin containing N-benzyl and N-alkyl moieties and their molecular mechanism [PDF]
Journal of Enzyme Inhibition and Medicinal ChemistryN-derivatives of pimaricin (PIM) were synthesised as zwitterions or in a non-ionic form, influencing water solubility and toxicity in normal cells (HDF).
Ewelina Smolarz +8 more
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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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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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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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ON ZYGMUND–TYPE INEQUALITIES CONCERNING POLAR DERIVATIVE OF POLYNOMIALS
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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Search for Non-Protein Protease Inhibitors Constituted with an Indole and Acetylene Core
Molecules, 2021 A possible inhibitor of proteases, which contains an indole core and an aromatic polar acetylene, was designed and synthesized. This indole derivative has a molecular architecture kindred to biologically relevant species and was obtained through five ...
Marco A. Almaraz-Girón +7 more
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Synthesis, spectroscopy, and photophysical properties of newly magnesium (II) phthalocyanine
MANAS: Journal of Engineering, 2021 2(3),9(10),16(17),23(24)-tetrakis-2,6-dimethoxyphenoxy substituted magnesium (II) phthalocyanine, which has very good solubility in polar and non-polar solvents and does not aggregate, was synthesized.
Mehmet Pişkin +2 more
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