Results 21 to 30 of about 200 (40)
On two new means of two arguments III [PDF]
, 2017 In this paper authors establish the two sided inequalities for the following two new means $$X=X(a,b)=Ae^{G/P-1},\quad Y=Y(a,b)=Ge^{L/A-1}.$$ As well as many other well known inequalities involving the identric mean $I$ and the logarithmic mean are ...
Bhayo, Barkat Ali, Sándor, József
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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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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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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
core
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
Refinements and generalizations of some inequalities of Shafer-Fink's type for the inverse sine function. [PDF]
J Inequal Appl, 2017 Malešević B, Rašajski M, Lutovac T.
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