On a Decomposition of Hilbert’s Inequality
نویسندگان
چکیده
By using the Euler-Maclaurin’s summation formula and the weight coefficient, a pair of new inequalities is given, which is a decomposition of Hilbert’s inequality. The equivalent forms and the extended inequalities with a pair of conjugate exponents are built.
منابع مشابه
On a decomposition of Hardy--Hilbert's type inequality
In this paper, two pairs of new inequalities are given, which decompose two Hilbert-type inequalities.
متن کاملOn a New Multiple Extension of Hilbert’s Integral Inequality
This paper gives a new multiple extension of Hilbert’s integral inequality with a best constant factor, by introducing a parameter λ and the Γ function. Some particular results are obtained.
متن کاملOn a strengthened Hardy-Hilbert’s type inequality
In this paper, by using the Euler-Maclaurin expansion for the zeta function and estimating the weight function effectively, we derive a strengthenment of a Hardy-Hilbert’s type inequality proved by W.Y. Zhong. As applications, some particular results are considered.
متن کاملFour Inequalities Similar to Hardy-hilbert’s Integral Inequality
Four new different types of inequalities similar to Hardy-Hilbert’s inequality are given.
متن کاملOn Best Extensions of Hardy-hilbert’s Inequality with Two Parameters
This paper deals with some extensions of Hardy-Hilbert’s inequality with the best constant factors by introducing two parameters λ and α and using the Beta function. The equivalent form and some reversions are considered.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008