A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function

Michael Th. Rassias () and Bicheng Yang ()
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Michael Th. Rassias: ETH-Zürich
Bicheng Yang: Guangdong University of Education

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 183-218 from Springer

Abstract: Abstract Using methods of weight functions, techniques of real analysis as well as the Hermite-Hadamard inequality, a half-discrete Hardy-Hilbert-type inequality with multi-parameters and a best possible constant factor related to the Hurwitz zeta function and the Riemann zeta function is obtained. Equivalent forms, normed operator expressions, their reverses and some particular cases are also considered.

Keywords: Hardy-Hilbert-type inequality; Hurwitz zeta function; Riemann zeta function; weight function; operator; 26D15; ⋅; 47A07; ⋅; 11Y35; ⋅; 31A10; ⋅; 65B10 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-49242-1_10

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DOI: 10.1007/978-3-319-49242-1_10

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