Abstract
By using the way of weight functions and the technique of real analysis, a half-discrete Hilbert-type inequality with a general nonhomogeneous kernel and two interval variables, as well as a best constant factor is given. The equivalent forms, the operator expressions, the reverses and some particular examples are considered.
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This work is supported by Guangdong Natural Science Foundation (No. 7004344).
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Yang, B. A Half-Discrete Hilbert-Type Inequality with a Non-Homogeneous Kernel and Two Variables. Mediterr. J. Math. 10, 677–692 (2013). https://doi.org/10.1007/s00009-012-0213-5
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DOI: https://doi.org/10.1007/s00009-012-0213-5