In this paper‎, ‎following a very recent‎ ‎and new approach‎, ‎we further generalize recently introduced‎ ‎summability methods‎, ‎namely‎, ‎$I$-statistical convergence and‎ ‎$I$-lacunary statistical convergence (which extend the important‎ ‎summability methods‎, ‎statistical convergence and lacunary‎ ‎statistical convergence using ideals of $mathbb{N}$) and‎ ‎introduce the notions of $I$-statis...

This paper quantifies the contributions of sectoral productivity growth and structural change to aggregate productivity convergence. Existing evidence is inconclusive because it focuses on convergence within sector and its methodology depends sensitively on the conversion factor used to compare sectoral productivity levels across countries. Thus, a methodology – β-decomposition – is proposed to...

in this paper, we use the concept of graph convergence of h(.,.)-co-accretive mapping introduced by [r. ahmad, m. akram, m. dilshad, graph convergence for the h(.,.)-co-accretive mapping with an application, bull. malays. math. sci. soc., doi: 10.1007/s40840-014-0103-z, 2014$] and define an over-relaxed proximal point method to obtain the solution of a generalized variational inclusion problem ...

Palette re-ordering is a class of pre-processing method with the objective to manipulate the palette index such that the adjacent symbols are assigned close indices in the symbol space, thus enhancing the compressibility of the image with many lossless compressors. Finding an exact reordered palette would certainly be exhaustive and computationally complex. A solution to this NP hard problem is...

A quantitative analysis of coupling between systems of equations is introduced. This analysis is then applied to problems in multidisciplinary analysis, sensitivity, and optimization. For the sensitivity and optimization problems both multidisciplinary and single discipline feasibility schemes are considered. In all these cases a "convergence factor" is estimated in terms of the Jacobians and H...

We examine the cosmological information available from the 1-point probability distribution (PDF) of the weak-lensing convergence field, utilizing fast L-PICOLA simulations and a Fisher analysis. We find competitive constraints in the Ωm-σ8 plane from the convergence PDF with 188 arcmin pixels compared to the cosmic shear power spectrum with an equivalent number of modes (` < 886). The converge...

The residual inverse iteration is a simple method for solving eigenvalue problems that are nonlinear in the eigenvalue parameter. In this paper, we establish a new expression and a simple bound for the asymptotic convergence factor of this iteration in the special case that the nonlinear eigenvalue problem is Hermitian and admits a so called Rayleigh functional. These results are then applied t...

German reunification provides a unique quasi-natural experiment to study the integration of two economies with perfect factor mobility. The reallocation of capital and labor is the most striking characteristic of German unification and may affect the macroeconomic development in East and West Germany in the long run. Therefore, a baseline two-region open economy model is set up to study the int...

In this paper we present the relaxed inertial proximal algorithm for Ky Fan minimax inequalities. Based on Opial lemma, we propose a weak convergence result to a solution of the problem by eliminating in the algorithm (RIPAFAN) the Browder–Halpern’s factor of contraction. We present after, a first result of strong convergence by adding a strong monotonicity condition. Secondly, we eliminate the...