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Thus, we see that a square function inequality much like that of (2.13) holds; this completes the proof of Rubio de Francia’s Theorem in the one- dimensional case, aside from the
The following theorem is the indefinite version of the Chaotic Furuta inequality, a result previously stated in the context of Hilbert spaces by Fujii, Furuta and Kamei [5]..
For this model, we obtain a full rank case theorem for uniquely fitting written in terms of initial matrix of sample data... From this point of views the fitting of theoretic
Our proof of Theorem 2 follows by enumerating the degree sequences which fit into each of the five categories in Theorem 1 and then removing those that have been counted multiple
In [8] an analogue of Nagumo’s theorem is proved for some boundary- value problems connected with differential equations of the third order, whereas in [9] and [10] the method
After that we give the proof of the main theorem which is based on Theorem 2.1 to be proved below and our results obtained previously [7] (see also [8]) for fractional integrals
A new simple proof of the well-known theorem of McEliece about the complete weight enumerators of ternary self-dual codes is
Strategy proofness and pivotal voters: A direct proof of the Gibbard–Sattherthwaite theorem. Three Brief Proofs of Arrow’s
