Results 91 to 100 of about 326 (116)

Sharp Shafer-Fink type inequalities for Gauss lemniscate functions

open access: yes, 2014
In this paper, we establish sharp Shafer-Fink type inequalities for Gauss lemniscate functions.MSC:26D07.
Ji-En Deng, Chao Chen
semanticscholar   +1 more source

Ceva's triangle inequalities [PDF]

open access: yesarXiv, 2012
We characterize triples of cevians which form a triangle independent of the triangle where they are constructed. This problem is equivalent to solving a three-parameter family of inequalities which we call Ceva's triangle inequalities. Our main result provides the parametrization of the solution set.
arxiv  

A short extension of two of Spira's results [PDF]

open access: yesJ. Math. Inequal. 2015, vol. 9, no. 3 pp. 795-798, 2013
Two inequalities concerning the symmetry of the zeta-function and the Ramanujan $\tau$-function are improved through the use of some elementary considerations.
arxiv  

Some refinements of Hermite-Hadamard inequality and an open problem [PDF]

open access: yesarXiv, 2016
We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration. It is solved here for a wide class of convex functions, but not in general. Some supplementary results are also given.
arxiv  

Turan type inequalities for rational functions with pescribed poles and restricted zeros [PDF]

open access: yesarXiv
In this paper, we establish some inequalities for rational functions with prescribed poles having s-fold zeros at origin and also show that it implies some inequalities for polynomials and their polar derivatives.
arxiv  

Certain inequalities involving the k-Struve function [PDF]

open access: yesarXiv, 2016
We aim to introduce a $\mathtt{k}$-Struve function and investigate its various properties, including mainly certain inequalities associated this function. One of the inequalities given here is pointed out to be related to the so-called classical Tur\'an type inequality. We also present a differential equation, several recurrence relations, and integral
arxiv  

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