Abstract
By using the way of weight function, a new integral inequality with certain parameters and a best constant factor is proved which provides a relation of Hilbert’s integral inequality and a basic Hilbert-type integral inequality. Both the equivalent form as well as the reverse form are considered.
Mathematics Subject Classification (2000): Primary 26D15
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Yang, B., Rassias, T.M. (2011). A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality. In: Rassias, T., Brzdek, J. (eds) Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications(), vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0055-4_47
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DOI: https://doi.org/10.1007/978-1-4614-0055-4_47
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