Let $p(x)$ be a nondecreasing real-valued continuous function
 on $R_+:=[0,\infty)$ such that $p(0)=0$ and $p(x) \to \infty$ as $x \infty$.
 Given real or complex-valued integrable function $f$ in Lebesgue's sense every bounded interval $(0,x)$
 for $x>0$, symbol $f \in L^1_{loc} (R_+)$, we set
 $$
 s(x)=\int _{0}^{x}f(u)du
 and
 \sigma _{p}(s(x))=\frac{1}{...

In this work, a fractal image compression method based on zero-mean block matching method is adopted. In this method the mean of the range blocks is used instead of traditional offset parameter. This reduces and simplifies the computations of the affine parameters during the encoding process. To increase the compression gain the indexes of range mean bits have been coded using DPCM followed by ...

In this paper, a fractal compression technique based on zero-mean block matching is utilized as unconventional affine mapping. In this method the mean of the range blocks is used instead of traditional offset parameter. This will reduce and simplify the computations of the affine parameter during the encoding process. This method is tested on 24 bits/pixel color image. The data of the color com...

This paper proposes a multiscale method for solving the numerical solution of mean field games which accelerates convergence and addresses problem determining initial guess. Starting from an approximate at coarsest level, constructs approximations on successively finer grids via alternating sweeping, not only allows use classical time marching schemes, but also enables applications to both loca...