Results 21 to 30 of about 172 (48)

A Markov-type inequality for arbitrary plane continua [PDF]

Proc. AMS, 135 (2007) 1505-1510, 2006
A version of Markov's estimate for the derivative of a polynomial is proved with the interval [-1,1] replaced by an arbitrary continuum in the complex plane.
arxiv  

An application of lambda-method on Shafer-Fink's inequality [PDF]

Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. 8 (1997), 90-92, 2006
In the paper $\lambda$-method Mitrinovic-Vasic is applied aiming to improve Fink's inequality, and Shafer's inequality for arcus sinus function is observed.
arxiv  

An Optimal Inequality For The Tangent Function [PDF]

arXiv, 2012
In this note we deal with some inequalities for the tangent function that are valid for $x$ in $(-\pi/2,\pi/2)$. These inequalities are optimal in the sense that the best values of the exponents involved are obtained.
arxiv  

Some new inequalities for trigonometric functions and corresponding ones for means [PDF]

arXiv, 2013
In this paper, the versions of trigonometric functions of certain known inequalities for hyperbolic ones are proved, and then corresponding inequalities for means are presented.
arxiv  

On some inequalities for the identric, logarithmic and related means [PDF]

arXiv, 2015
We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.
arxiv  

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 [PDF]

Proc. Amer. Math. Soc. 133 (2005), 711-717, 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. They are derived by establishing first an auxiliary set of inequalities also valid for both of these classes.
arxiv  

An application of Lambda-method on inequalities of Shafer-Fink's type [PDF]

Mathematical Inequalities & Applications, Vol. 10, No. 3, (2007), 529--534, 2006
In this article $\lambda$-method of Mitrinovic-Vasic \cite{MitrinovicVasic70} is applied to improve the upper bound for the arcsin function of L. Zhu \cite{Zhu05} for inequalities of Shafer-Fink's type.
arxiv  

On Ramanujan Cubic Polynomials [PDF]

arXiv, 2007
A polynomial x^3+px^2+qx+r with the condition pr^(1/3)+ 3r^(2/3)+q=0 we call a Ramanujan cubic polynomial (RCP). We study different interest properties of RCP, in particular, an important role of a parameter pq/r. We prove some new beautiful identities containing sums of 6 cubic radicals of values of trigonometrical functions as well.
arxiv  

The Kadets 1/4 theorem for polynomials [PDF]

Math. Scand. 104 No. 2 (2009) 311-318, 2007
We determine the maximal angular perturbation of the (n+1)th roots of unity permissible in the Marcinkiewicz-Zygmund theorem on L^p means of polynomials of degree at most n. For p=2, the result is an analogue of the Kadets 1/4 theorem on perturbation of Riesz bases of holomorphic exponentials.
arxiv