By the use of techniques of real analysis and weight functions, we obtain two lemmas and build a few equivalent conditions of a Hardy-type integral inequality with a non-homogeneous kernel, related to a parameter where the constant factor is expressed in terms of the extended Riemann zeta function. Meanwhile, a few equivalent conditions for two kinds of Hardy-type integral inequalities with the homogeneous kernel are deduced. We also consider the operator expressions.
Rassias, M., Yang, B. (2017). Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function. Advances in Operator Theory, 2(3), 237-256. doi: 10.22034/aot.1703-1132
MLA
Michael Th. Rassias; Bicheng Yang. "Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function". Advances in Operator Theory, 2, 3, 2017, 237-256. doi: 10.22034/aot.1703-1132
HARVARD
Rassias, M., Yang, B. (2017). 'Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function', Advances in Operator Theory, 2(3), pp. 237-256. doi: 10.22034/aot.1703-1132
VANCOUVER
Rassias, M., Yang, B. Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function. Advances in Operator Theory, 2017; 2(3): 237-256. doi: 10.22034/aot.1703-1132
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