On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function

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On a more accurate half-discrete Hardy–Hilbert-type inequality related to the kernel of arc tangent function

By means of weight functions and Hermite-Hadamard's inequality, and introducing a discrete interval variable, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function and a best possible constant factor is given, which is an extension of a published result. The equivalent forms and the operator expressions are also considered.

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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 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: SpringerPlus

سال: 2016

ISSN: 2193-1801

DOI: 10.1186/s40064-016-2901-2