Results 11 to 20 of about 76,947 (261)

Integral Inequalities for the Polar derivative and the generalized Polar derivative of complex Polynomials

open access: yesUniversity of Aden Journal of Natural and Applied Sciences, 2023
For a polynomial P(z) of degree n , having all zeros in |z|≤1, Malik [11] proved that for each q>0, \(n [∫_0^{2π} |P(e^{iθ})|^q dθ] ^{1⁄q} ≤[∫_0^{2π} | 1 + e^{iθ} |^q dθ]^{1⁄q} \underset{|z|=1}{max} |P^ʹ (z)|\). In this paper we generalize the above inequality to polar derivative and generalized polar derivative, which as special cases include ...
Adeeb Tawfik Hasson Al-Saeedi   +1 more
openaire   +1 more source

Search for Non-Protein Protease Inhibitors Constituted with an Indole and Acetylene Core

open access: yesMolecules, 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
doaj   +1 more source

Polynomials with polar derivatives [PDF]

open access: yesFunctiones et Approximatio Commentarii Mathematici, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mir, Abdullah, Wani, Ajaz
openaire   +2 more sources

Synthesis, spectroscopy, and photophysical properties of newly magnesium (II) phthalocyanine

open access: yesMANAS: 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
doaj   +1 more source

Ordered smectic phase formed by novel binary liquid crystalline systems consisting of low-molecular-weight polar compounds and an amorphous side-chain polymer

open access: yesStudies in Science and Technology, 2023
Novel binary liquid crystalline systems were obtained by mixing amorphous side-chain polymethacrylate (SCP) and polar compounds. Their thermal and orientational properties were examined by DSC measurement, polarizing microscopy and temperature-variable X-
Shogo Nakagawa   +2 more
doaj   +1 more source

Estimates for the polar derivative of a constrained polynomial on a disk

open access: yesCubo, 2022
This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović   +2 more
doaj   +1 more source

Inequalities for the polar derivative and the generalized polar derivative of complex polynomials with restricted zeros

open access: yesUniversity of Aden Journal of Natural and Applied Sciences, 2023
     In this paper, certain new results concerning the maximum modulus of the polar derivative and the generalized polar derivative of a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for polynomial due to Tur n, Rather and Dar, Rather, Ali, Shafi and Dar  and others.  
Adeeb Tawfik Hasson Al-Saeedi   +1 more
openaire   +1 more source

Alkylating ability of carbohydrate oxetanes: Practical synthesis of bolaform skeleton derivative [PDF]

open access: yesJournal of the Serbian Chemical Society, 2015
Alkylating ability of oxetane ring in carbohydrate structure was investigated and flexible method for bolaform amphiplile skeleton construction with xylose as polar heads is proposed.
Hadžić Pavle A.   +2 more
doaj   +1 more source

Inequalities for the Polar Derivative of A Polynomial [PDF]

open access: yesMathematics and Statistics, 2013
IfP (z) = anz n + n P v= a n vz n v , 1 n, has all its zeros onjzj = k, k 1, then it was recently proved by Dewan and Ahuja (3) that for every real or complex number withj j k. maxzj=1 jD P (z)j n(j j +s )s k n +1 (1 +s ) maxzj=1 jP (z)j; In this paper, we improve the above result and obtain new inequality for the polar derivative of a polynomial.
Rather, N. A., Gulzar, Suhail
openaire   +3 more sources

Gas-liquid chromatographic analyses of 1,2-ethanediol monoethers and monoesters

open access: yesJournal of Lipid Research, 1968
Synthetic mixtures of saturated and unsaturated monoethers and monoesters of 1,2-ethanediol, ranging in chain length from 12 to 20, were analyzed as acetates, trifluoroacetates (TFA), and trimethylsilyl (TMS) ethers by gas chromatography on polar and ...
Randall Wood, Wolfgang J. Baumann
doaj   +1 more source

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