Results 21 to 30 of about 219 (59)
A Note on Extrema of Linear Combinations of Elementary Symmetric Functions
, 2013 This note provides a new approach to a result of Foregger and related earlier results by Keilson and Eberlein. Using quite different techniques, we prove a more general result from which the others follow easily. Finally, we argue that the proof given by
Alexander Kovačec +5 more
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The monotonicity results and sharp inequalities for some power-type means of two arguments [PDF]
, 2012 For $a,b>0$ with $a\neq b$, we define M_{p}=M^{1/p}(a^{p},b^{p})\text{if}p\neq 0 \text{and} M_{0}=\sqrt{ab}, where $M=A,He,L,I,P,T,N,Z$ and $Y$ stand for the arithmetic mean, Heronian mean, logarithmic mean, identric (exponential) mean, the first ...
Mp M, Zhen-hang Yang
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A Sharp Double Inequality for the Inverse Tangent Function [PDF]
, 2013 The inverse tangent function can be bounded by different inequalities, for example by Shafer's inequality. In this publication, we propose a new sharp double inequality, consisting of a lower and an upper bound, for the inverse tangent function.
Alirezaei, Gholamreza
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Jordan's Inequality: Refinements, Generalizations, Applications and Related Problems [PDF]
, 2006 This is an expository article. Some developments on refinements, generalizations, applications of Jordan’s inequality and related problems, including some estimates for three classes of complete elliptic integrals and several proofs of Wilker’s ...
Qi, Feng
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Quantum invariants of hyperbolic knots and extreme values of trigonometric products. [PDF]
Math Z, 2022 Aistleitner C, Borda B.
europepmc +1 more source
M-matrices satisfy Newton's inequalities
, 2005 Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
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A four dimensional Bernstein Theorem
, 2019 We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of ...
Perotti, Alessandro
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A positive lower bound for $\liminf_{N\to\infty} \prod_{r=1}^N \left| 2\sin \pi r \varphi \right|$
, 2018 Nearly 60 years ago, Erd\H{o}s and Szekeres raised the question of whether $$\liminf_{N\to \infty} \prod_{r=1}^N \left| 2\sin \pi r \alpha \right| =0$$ for all irrationals $\alpha$.
Grepstad, Sigrid +2 more
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New Bernstein type inequalities for polynomials on ellipses [PDF]
New and sharp estimates are derived for the growth in the complex plane of polynomials known to have a curved majorant on a given ellipse. These so-called Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation ...
Fischer, Bernd, Freund, Roland
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New approximation inequalities for circular functions. [PDF]
J Inequal Appl, 2018 Zhu L, Nenezić M.
europepmc +1 more source