Results 31 to 40 of about 199 (44)
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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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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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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A new way to prove L'Hospital Monotone Rules with applications [PDF]
, 2014 Let $-\infty \leq ...
Yang, Zhen-Hang
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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
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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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