Results 11 to 20 of about 172 (48)

Equivalent norms for polynomials on the sphere [PDF]

Int. Math. Res. Not. IMRN, no. 1, Art. ID rnm154 (2008) 18 pp, 2007
We study comparison of Lp norms of polynomials on the sphere with respect to doubling measures. From our description it follows an uncertainty principle for square integrable functions on the sphere. We consider also weighted uniform versions of this result.
arxiv   +1 more source

A generalization of Newton-Maclaurin's inequalities [PDF]

arXiv, 2022
In this paper, we prove Newton-Maclaurin type inequalities for functions obtained by linear combination of two neighboring primary symmetry functions, which is a generalization of the classical Newton-Maclaurin inequality.
arxiv  

Some Analytical Properties of the Hyperbolic Sine Integral [PDF]

arXiv, 2023
By using some tools of analysis, we establish some analytical properties such as monotonicity and inequalities involving the hyperbolic sine integral function. As applications of some of the established properties, we obtain some rational bounds for the hyperbolic tangent function.
arxiv  

Identities and inequalities for the cosine and sine functions [PDF]

arXiv, 2020
Identities and inequalities for the cosine and sine functions are obtained.
arxiv  

A concise proof of Oppenheim's double inequality relating to the cosine and sine functions [PDF]

Feng Qi, Qiu-Ming Luo, and Bai-Ni Guo, A simple proof of Oppenheim's double inequality relating to the cosine and sine functions, Journal of Mathematical Inequalities 6 (2012), no. 4, 645--654, 2009
In this paper, we provide a concise proof of Oppenheim's double inequality relating to the cosine and sine functions. In passing, we survey this topic.
arxiv   +1 more source

Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function [PDF]

Bai-Ni Guo, Qiu-Ming Luo, and Feng Qi, Filomat 27 (2013), no. 2, 261--265, 2009
In this paper, we sharpen and generalize Shafer-Fink's double inequality for the arc sine function.
arxiv   +1 more source

Sharpening and generalizations of Shafer's inequality for the arc tangent function [PDF]

Feng Qi, Shi-Qin Zhang and Bai-Ni Guo, Sharpening and generalizations of Shafer's inequality for the arc tangent function, Journal of Inequalities and Applications 2009 (2009), Article ID 930294, 9 pages, 2009
In this paper, we sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined.
arxiv   +1 more source

Monotonicity results and bounds for the inverse hyperbolic sine [PDF]

Bai-Ni Guo, Qiu-Ming Luo, and Feng Qi, Monotonicity results and inequalities for the inverse hyperbolic sine function, Journal of Inequalities and Applications 2013, 2013:536, 6 pages, 2009
In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine. From these, we derive some inequalities for bounding the inverse hyperbolic sine.
arxiv   +1 more source

Trigonometric and Hyperbolic Inequalities [PDF]

arXiv, 2011
We prove various new trigonometric and hyperbolic inequalities of Jordan, Wilker, Huygens or Cusa-Huygens type. Connections with bivariate means, as well as monotonicity and convexity properties are pointed out, too.
arxiv  

A Refinement of Vietoris Inequality for Cosine Polynomials [PDF]

arXiv, 2015
The classical Vietoris cosine inequality is refined by establishing a positive polynomial lower bound.
arxiv