A Hilbert Integral-Type Inequality with Parameters
نویسندگان
چکیده
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 کاملGeneral Hardy-Type Inequalities with Non-conjugate Exponents
We derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. First, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. ...
متن کاملOn the study of Hilbert-type inequalities with multi-parameters: a Survey
In this paper, we provide a short account of the study of Hilbert-typeinequalities during the past almost 100 years by introducing multi-parametersand using the method of weight coefficients. A basic theorem of Hilbert-typeinequalities with the homogeneous kernel of −−degree and parameters is proved.
متن کاملA Relation to Hilbert’s Integral Inequality and Some Base Hilbert-type Inequalities
In this paper, by using the way of weight function and real analysis techniques, a new integral inequality with some parameters and a best constant factor is given, which is a relation to Hilbert’s integral inequality and some base Hilbert-type integral inequalities. The equivalent form and the reverse forms are considered.
متن کاملSome Refinements of Hilbert-pachpatte Type Integral Inequalities
In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special cases.
متن کاملAn extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples 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
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2010 شماره
صفحات -
تاریخ انتشار 2010