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By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
In this paper, applying the way of real and functional analysis and estimating the weight functions, we build some lemmas and deduce some Hilbert-type and Hilbert-Hardy-type integral inequalities with the best possible constant factors.
By applying the way of real and functional analysis and estimating the weight functions, we build some lemmas and deduce some Hilbert-type and Hilbert-Hardy-type integral inequalities with the best possible constant factors.
In this paper, by applying the way of weight functions and inequality (1.2) for, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some parameters and the best constant factor.
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"One advantage is that you can learn a great deal by applying the ways that one discipline looks at their world to other disciplines," he suggests.
"If this law were to be applied the way (Scott) wants to apply it," she said, "he could shoot a 4-year-old playing in her front yard and still be immune from prosecution".
"You can be smart at what you do and apply the way you are to whatever you're doing in a way that is satisfying.
And he couldn't help but judge his fiancée for not applying herself the way he did.
"They came here to apply the occupier way -- just like Saddam".
But what if you apply the GE way to the car division?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com