A refinement of Holder's integral inequality
نویسندگان
چکیده
منابع مشابه
A Version of Favard's Inequality for the Sugeno Integral
In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.
متن کاملRefinement of Hardy’s Inequality
We give a simple combinatorial proof of an inequality that refines Hardy’s inequality. As a corollary we obtain a corresponding refinement of Carleman’s inequality.
متن کاملA Refinement of Hölder’s Inequality and Applications
In this paper, it is shown that a refinement of Hölder’s inequality can be established using the positive definiteness of the Gram matrix. As applications, some improvements on Minkowski’s inequality, Fan Ky’s inequality and Hardy’s inequality are given.
متن کاملRefinement of an Inequality Of
We prove: Let P(z) = P n k=0 a k z k be a complex polynomial with n 1 and a 0 an 6 = 0. If z is a zero of P, then we have for all real numbers t > 0: (*) jzj > ja 0 jt ja 0 j + Kn(t) with Kn(t) = 1 1 ? n(t) n min 1mn h (n(t) m ? n(t) n) max mpn Ap(t) + (1 ? n(t) m) max 1pn Ap(t) i ; n(t) = ja 0 j ja 0 j + max 1pn Ap(t) ; Ap(t) = 1 p p X k=1 ja k jt k : Inequality (*) sharpens a result of E. Lan...
متن کاملA new refinement of the Radon inequality
The aim of this paper is to give a new extension of the Radon inequality. AMS subject classifications: 26D15
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2003
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.34.2003.240