A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor
نویسندگان
چکیده
منابع مشابه
A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the rever...
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By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multipleHilbert-type inequality and the equivalent form are given. We also prove that the same constantfactor in the equivalent inequalities is the best possible.
متن کاملA Reverse Hardy-hilbert-type Integral Inequality
By estimating a weight function, a reverse Hardy-Hilbert-type integral inequality with a best constant factor is obtained. As an application, some equivalent forms and some particular results have been established.
متن کاملa more accurate half-discrete hardy-hilbert-type inequality with the best possible constant factor related to the extended riemann-zeta function
by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2007
ISSN: 1025-5834,1029-242X
DOI: 10.1155/2007/71049