Refinements of the weighted generalized trapezoid inequality in terms of cumulative variation and applications
2018 ◽
Vol 25
(1)
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pp. 47-64
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Keyword(s):
AbstractIn this paper, we first establish some refinements of the weighted generalized trapezoid inequality for functions of bounded variation in terms of a cumulative variation function, and then obtain some perturbed versions of the weighted generalized trapezoid inequality. Several applications for selfadjoint operators on complex Hilbert spaces are also given.
2009 ◽
Vol 80
(3)
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pp. 430-453
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2017 ◽
Vol 147
(3)
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pp. 449-503
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2003 ◽
Vol 2003
(31)
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pp. 2003-2009
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1962 ◽
Vol 13
(3)
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pp. 366-366
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