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It should be noticed here that our methods of proving differ from the techniques presented in [1].
It should be noticed here that these definitions of MRL are different from the ordinary definition of m(t).
It should be noticed here that the constant appearing in the inequality (1) does not contain any exponent.
It should be noticed here that the inequality (1) is usually referred to as a half-discrete Hilbert-type inequality since it includes both integral and a sum.
Remark 1 It should be noticed here that Theorem 1 and Theorem 2 coincide in the case of m = 0. Therefore, presented results may be regarded as the differential extensions of inequalities (4) and (5).
It should be noticed here that the above relations hold for complex arguments of the Gamma function which are not negative integers (for more details, see e.g. [10] or [11]).
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"All of my members are suffering since the Concorde," Mrs. Gross is saying, and you will notice, here, that she omits the word "crash," that word, in Mrs. Gross's line of work, being implicit, understood.
Notice here that CAT spaces with are particular examples of hyperbolic uniformly convex spaces.
Notice here that we are dealing with a finite horizon of observations T.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com