Directory UMM :Journals:Journal_of_mathematics:GMJ:
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We describe a process that associates to any groupoid X the vector space R X consisting of real-valued functions on the set of isomorphism classes of objects of X, and associates to
Also, the necessary and sufficient conditions are found for pairs of weights, which provide the validity of two-weighted inequalities for the generalized Hardy operator in the
In this section we establish necessary and sufficient conditions for the validity of the trace inequality for the Riemann–Liouville and Weyl operators... In order to show
For X -valued vector functions the Dinculeanu integral with respect to a σ -additive scalar measure on P (see Note 1) is the same as the Bochner integral and hence the
As in the case of the level (see (33)) this inequality can be used to relate the tuning constant c of our RGMM estimator to the maximal bias in the power of the GMM speci "
Siyyam and Syam [5] proved that the modied trapezoidal rule has an asymptotic error expansion in even powers of 1 =m over a scalar and vector eld.. But their proof was very long
Colleges with integrators as presidents experienced the maximal enrolment growth (4.75), the net casters are second in enrolment growth (4.17), while the focused visionaries are
In these explants the abscission zone cells showed features similar to those in the normally abscising genotype consistent with a degree of wall breakdown sufficient for cell
