Results 11 to 20 of about 2,727,646 (335)

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
doaj   +1 more source

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
doaj   +1 more source

Polar Flagella Glycosylation in Aeromonas: Genomic Characterization and Involvement of a Specific Glycosyltransferase (Fgi-1) in Heterogeneous Flagella Glycosylation

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, Kelly M. Fulton, Kelly M. Fulton, Jeffrey C. Smith, Susan M. Twine, Susan M. Twine, Elena Mendoza-Barberà, Juan M. Tomás, Susana Merino   +8 more
doaj   +1 more source

Generalizations and sharpenings of certain Bernstein and Turán types of inequalities for the polar derivative of a polynomial

Journal of Mathematical Inequalities, 2021
. Let p ( z ) be a polynomial of degree n . The polar derivative of p ( z ) with respect to a complex number α is de fi ned by If p ( z ) has all its zeros in | z | (cid:2) k , k (cid:3) 1, then for | α | (cid:3) k , Aziz and Rather [Math. Inequal. Appl.,
Thangjam Birkramjit Singh, B. Chanam
semanticscholar   +1 more source

Extension of Some Polynomial Inequalities to the Polar Derivative and the Generalized Polar Derivative

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, null Dhekra M. Algawi, null Alaa A. Abdallah   +2 more
openaire   +1 more source

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

University 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, Dhekra Mohammed Mohsen Algawi   +1 more
openaire   +1 more source

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, Xianfang Wu, Rachel L. Belote, Ursula Andreo, Constantin N. Takacs, Joseph P. Fernandez, Luis Andre Vale-Silva, Sarah Prallet, Charlotte C. Decker, Rebecca M. Fu, Bingqian Qu, Kunihiro Uryu, Henrik Molina, Mohsan Saeed, Eike Steinmann, Stephan Urban, Roshni R. Singaraja, William M. Schneider, Sanford M. Simon, Charles M. Rice   +19 more
openaire   +3 more sources

Some integral mean inequalities concerning polar derivative of a polynomial

Journal of Mathematics and Computer Science, 2021
Let $P(z) = \sum\limits_{j=0}^{n}c_{j}z^{j}$ be a polynomial of degree $n$ having all its zeros in $|z|\leq 1$, then Dubinin [J. Math. Sci., 143(2007), 3069-3076.] proved $$\max\limits_{|z|=1}|P'(z)|\geq\left\{\dfrac{n}{2}+\dfrac{1}{2}\dfrac{|c_{n}|-|c_ ...
B. Chanam, M. T. Devi, Kshetrimayum Krishnadas, N. Reingachan   +3 more
semanticscholar   +1 more source

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, Keaitsuda Maneeruk Nakprasit   +1 more
doaj   +1 more source

Bernstein Type Inequalities for Polar Derivative of Polynomial

, 2021
If ( ) z p is a polynomial of degree n such that ( ) 0  z p in k z  , 1  k , then Govil [ Proc. Nat. Acad. Sci., Vol. 50, pp. 50-52, 1980. ] proved ( ) ( ) z p k n z p z n z 1 1 max 1 max = = +   , provided ( ) z p and ( ) z q attain their maxima ...
B. Chanam
semanticscholar   +1 more source