A Best Possible Double Inequality for Power Mean

A Best Possible Double Inequality for Power Mean

A best-possible double inequality between Seiffert and harmonic means

* Correspondence: [email protected] Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China Full list of author information is available at the end of the article Abstract In this paper, we establish a new double inequality between the Seiffert and harmonic means. The achieved results is inspired by the papers of Sándor (Arch. Math., 76, 34-40, 2001) and Hästö (Math. ...

The Best Constants for a Double Inequality in a Triangle

In this short note, by using some of Chen’s theorems and classic analysis, we obtain a double inequality for triangle and give a positive answer to a problem posed by Yang and Yin [6].

Finding best possible constant for a polynomial inequality

Given a multi-variant polynomial inequality with a parameter, how to find the best possible value of this parameter that satisfies the inequality? For instance, find the greatest number k that satisfies a+b+c+k(ab+bc+ca)−(k+1)(ab+bc+ca) ≥ 0 for all nonnegative real numbers a, b, c. Analogues problems often appeared in studies of inequalities and were dealt with by various methods. In this paper...

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.