Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function
Abstract. By the use of techniques of real analysis and weight functions, we obtain two lemmas and build a few equivalent conditions of a Hardy-type integral inequality with a non-homogeneous kernel, related to a parameter where the constant factor is expressed in terms of the extended Riemann zeta function. Meanwhile, a few equivalent conditions for two kinds of Hardytype integral inequalities with the homogeneous kernel are deduced. We also consider the operator expressions.
Best constants for certain multilinear integral operators
We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Pólya.
Monte Carlo properties of spatial dependence LM tests
This paper compares the power and size of both spatial one-directional and robust to local misspecification LM test using Monte Carlo techniques under different set ups. Confirming the results found in Anselin et al . (1996), under local misspecification the robust LM test improves its size and power of tests. However, under no misspecification, the robust LM test is severely penalized and the usual one-directional LM test has a much better performance.