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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
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نویسنده
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rassias michael th. ,yang bicheng
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منبع
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international journal of nonlinear analysis and applications - 2016 - دوره : 7 - شماره : 2 - صفحه:1 -27
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چکیده
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By the method of weight coecients, 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 reverses and some particular cases are also considered.
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کلیدواژه
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Hardy-Hilbert-type inequality; extended Riemann-zeta function; Hurwitz zeta function; Gamma function; weight function; equivalent form; operator
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آدرس
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university of zurich, institute of mathematics, Switzerland. institute for advanced study, program in interdisciplinary studies, USA, guangdong university of education, department of mathematics, China
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Authors
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