A general refinement of Jordan-type inequality
نویسندگان
چکیده
منابع مشابه
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.
15 صفحه اولA General Generalization of Jordan’s Inequality and a Refinement of L. Yang’s Inequality
In this article, for t ≥ 2, a general generalization of Jordan’s inequality Pn k=1 μk θt − xt k ≤ sin x x − sin θ θ ≤nk=1 ωk θt − xt k for n ∈ N and θ ∈ (0, π] is established, where the coefficients μk and ωk defined by recursing formulas (11) and (12) are the best possible. As an application, L. Yang’s inequality is refined.
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2008
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.10.004