Some Hardy type inequalities with "broken" exponent p

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Abstract

Some new Hardy-type inequalities, where the parameter p is permitted to take different values in different intervals, are proved and discussed. The parameter can even be negative in one interval and greater than one in another. Moreover, a similar result is derived for a multidimensional case.

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Oguntuase, J. A., Persson, L. E., & Samko, N. (2014). Some Hardy type inequalities with “broken” exponent p. Journal of Mathematical Inequalities, 8(3), 405–416. https://doi.org/10.7153/jmi-08-29

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