Results 1 to 10 of about 59 (54)
Integral mean estimates for polynomials whose zeros are within a circle
Journal of Inequalities and Applications, 2011 Let P(z) be a polynomial of degree n having all its zeros in |z| ≤ K ≤ 1, then for each δ > 0, p > 1, q > 1 with 1 p + 1 q = 1 , Aziz and Ahmad (Glas Mat Ser III 31:229-237, 1996) proved that n ∫ ...
Shah WM, Singh Gulshan
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, 2016 Reported here for the first time are the synthesis and characterization of supramolecular complexes between diaryl-λ3-iodanes and 18-crown-6 (18C6). Slow evaporation of solvents afforded 1:1 and 2:1 complexes between Ph2IBF4 and 18C6 as stable crystals ...
Motoo Shiro (1670407) +7 more
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On the Zeros of Polynomials with Restricted Coefficients
Annales Mathematicae Silesianae, 2023 Let P(z)=∑j=0najzjP\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}} be a polynomial of degree n such that an ≥ an−1 ≥ . . . ≥ a1 ≥ a0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1.
Zargar B. A., Gulzar M. H., Ali M.
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Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
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On fixed point theorem in complete quasi-metric space under F-contraction mapping
Tikrit Journal of Pure Science, 2019 In this paper, a fixed point theorem under F-contraction mapping was considered and proved in complete quasi-metric space. This theorem was considered by Piri and Kumam in [1].
Rifaat Saad Abdul-Jabbar
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SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS
Forum of Mathematics, Pi, 2013 We study the postcritically finite maps within the moduli space of complex polynomial dynamical systems. We characterize rational curves in the moduli space containing an infinite number of postcritically finite maps, in terms of critical orbit relations,
MATTHEW BAKER, LAURA DE MARCO
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A refinement of an inequality due to Ankeny and Rivlin
, 2020 Let $p(z)= \sum_{\nu =0}^n a_\nu z^\nu$ be a polynomial of degree $n$, $ M(p,R):= \max_{|z|=R \ge 0} |p(z)|,$ and $M(p,1):=M(p)$. Then by well-known result due to Ankeny and Rivlin \cite{Ankeny}, we have M(p.R)≤(Rn+12)M(p), R≥1. In this paper, we sharpen
TRIPATHI, Dinesh, Dinesh Tripathi
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LOCATION OF ZEROS OF A CLASS OF POLYNOMIALS
, 2017 <p>In this paper we consider a certain class of polynomials with certain conditions on their coefficients and find regions containing all or some of their zeros.</p> <p><strong>Mathematics Subject Classification:</strong>
M.H. Gulzar*
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, 2019 The role of solvating polyethers on single-ion conduction and segmental dynamics is investigated for an amorphous main-chain polycation, polyviologen (PV), with two different [−(CH2)6– and −(CH2)10−] spacers and bis(trifluoromethylsulfonyl)imide (Tf2N–)
U Hyeok Choi (1782508) +4 more
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Complex Analogues of the Rolle's Theorem [PDF]
, 2007 2000 Mathematics Subject Classification: 30C10.Classical Rolle’s theorem and its analogues for complex algebraic polynomials are discussed.
Sendov, Blagovest
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