Results 1 to 10 of about 3,374,043 (402)
On the Bohr inequality with a fixed zero coefficient [PDF]
Proceedings of the American Mathematical Society, 2019 In this paper, we introduce the study of the Bohr phenomenon for a quasisubordination family of functions, and establish the classical Bohr’s inequality for the class of quasisubordinate functions. As a consequence, we improve and obtain the exact version of the classical Bohr’s inequality for bounded analytic functions and also for K K
Alkhaleefah S., Kayumov I., Ponnusamy S.
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Sharp inequalities for logarithmic coefficients and their applications [PDF]
Bulletin des Sciences Mathématiques, 2021 20 pages, 4 ...
Saminathan Ponnusamy, Toshiyuki Sugawa
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Thue Inequalities With Few Coefficients [PDF]
International Mathematics Research Notices, 2020 Abstract Let $F(x, y)$ be a binary form with integer coefficients, degree $n\geq 3$, and irreducible over the rationals. Suppose that only $s + 1$ of the $n + 1$ coefficients of $F$ are nonzero. We show that the Thue inequality $|F(x,y)|\leq m$ has $\ll s m^{2/n}$ solutions provided that the absolute value of the discriminant $D(F)$ of ...
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An inequality for coefficients of the real-rooted polynomials [PDF]
Journal of Number Theory, 2021 In this paper, we prove that if $f(x)=\sum_{k=0}^n{n\choose k}a_kx^k$ is a polynomial with real zeros only, then the sequence $\{a_k\}_{k=0}^n$ satisfies the following inequalities $a_{k+1}^2(1-\sqrt{1-c_k})^2/a_k^2 \leq(a_{k+1}^2-a_ka_{k+2})/(a_k^2-a_{k-1}a_{k+1}) \leq a_{k+1}^2(1+\sqrt{1-c_k})^2/a_k^2$, where $c_k=a_ka_{k+2}/a_{k+1}^2$.
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Measuring inequality in a cross-tabulation with ordered categories: from the Gini coefficient to the Tog coefficient [PDF]
, 2000 This paper introduces the Tog coefficient, which can be used to measure the level of inequality in a cross-tabulation of two ordinal-level variables. The Gini coefficient is a standard measure of income inequality which has been adapted by other authors ...
Lampard, Richard
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On a Coefficient Inequality for Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1975 M. S. Robertson considered a coefficient inequality I I for starlike functions that, if true, would imply a generalized Bieberbach coefficient inequality B B for close to convex functions. An example is given of a starlike function whose coefficients do not satisfy coefficient inequality I I .
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Inequalities between Littlewood–Richardson coefficients
Journal of Combinatorial Theory, Series A, 2006 28 pages, 12 ...
Bergeron F, Biagioli R, Rosas MH
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Coefficient inequalities for a subclass of Bazilevič functions [PDF]
Demonstratio Mathematica, 2020 AbstractLet f be analytic in {\mathbb{D}}=\{z:|z\mathrm{|\hspace{0.17em}\lt \hspace{0.17em}1\}} with f(z)=z+{\sum }_{n\mathrm{=2}}^{\infty }{a}_{n}{z}^{n}, and for α ≥ 0 and 0 < λ ≤ 1, let { {\mathcal B} }_{1}(\alpha ,\lambda ) denote the subclass of Bazilevič functions satisfying \left|f^{\prime} (z){\left(\frac{z}{f(z)}\right ...
Marjono +3 more
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Income related inequalities in self assessed health in Britain: 1979-1995 [PDF]
, 2003 Study objective: To measure and decompose income related inequalities in self assessed health in England, Scotland, and Wales, 1979-1995. Design: The relation between individual health and a non-linear transformation of equivalised income, allowing for ...
Gravelle, H, Sutton, M
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Inequalities for Binomial Coefficients
Journal of Mathematical Analysis and Applications, 1999 AbstractIn this note we give lower and upper bounds for the binomial coefficient (rss).
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