In the present article we extend the best constant approximant operator from Lorentz spaces Γp,w to Γp−1,w for any 1 < p <∞ and w ≥ 0 a locally integrable weight function, and from Γ1,w to the space of all measurable functions L0. Then we establish several properties of the extended best constant approximant operator and finally, we prove a generalized version of the Lebesgue Differentiation Th...

Previously developed Padé–related method of resummation for QCD observables, which achieves exact renormalization–scale–invariance, is extended so that the scheme–invariance is obtained as well. The dependence on the leading scheme parameter c2 is eliminated by a variant of the method of the principle of minimal sensitivity. The subleading parameter c3 in the approximant is then fixed in such a...

In wireless communication the effect of multipath as well as shadowing takes place simultaneously over the channel and this phenomena leads to composite fading. G-distribution is frequently encountered distribution in wireless fading environment. Combination of multipath fading and shadowing model are used as composite fading model. This composite fading model is named as Gdistribution. G-distr...

Studies of Mg2Cu6Ga5 reveal that this compound contains incomplete Bergman clusters in its structure and shows a pseudogap and empty bonding states just above the Fermi energy according to band calculations. Under a rigid band assumption, such a compound may be tuned to approximant and quasicrystal phases in which the required number of electrons are attained. Here, we replace part of Mg in the...

Considering a given computational problem, a certificate is a piece of additional data that one attaches to the output in order to help verifying that this output is correct. Certificates are often used to make the verification phase significantly more efficient than the whole (re-)computation of the output. Here, we consider the minimal approximant basis problem, for which the fastest known al...

We study a coarse grained parallelization scheme (thread based) aimed at solving complex multi-objective problems by means of decomposition. Our scheme is loosely based on the MOEA/D framework. The resulting algorithm, called Parallel Decomposition (PaDe), makes use of the asynchronous generalized island model to solve the various decomposed problems. Efficient exchange of chromosomic material ...

We present a method of enhanced convergence for the approximation of analytic functions. This method introduces conformal transformations in the approximation problems in order to help extract the values of a given analytic function from its Taylor expansion. We show that conformal transformations can extend the radius of convergence of a power series far into infinity, enhance substantially it...

We express radial solutions of semilinear elliptic equations on Rn as convergent power series in r, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem. Using a similar approach we have discovered existence of singular solutions for a class of subcritical problems. We prove convergence of the power series by modifying the classical method of...

This paper presents an application of control theory and μ-analysis to stability analysis of optical communication networks. The network transfer matrix representation is used and simplified so that the propagation time-delay is isolated on a link-by-link basis. The optical network stability problem is reformulated as a robust stability problem. Sufficient stability conditions are developed by ...