We study fractional variants of the quasi-norms introduced by Brezis, Van Schaftingen, and Yung in Sobolev space W?1,p. The resulting spaces are identified as a special class real interpolation Sobolev-Slobodecki? spaces. establish equivalence between Fourier analytic definitions via difference operators acting on measurable functions. prove various new results embeddings non-embeddings, give a...

This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...

in this paper, we try to find a particular combination of wavelet shrinkage and nonlinear diffusion for noise removal in dental images. we selected the wavelet diffusion and modified its automatic threshold selection by proposing new models for speckle related modulus. the laplacian mixture model and circular symmetric laplacian mixture models were evaluated and as it could be expected, the lat...

the notions of quasi-prime submodules and developed  zariski topology was introduced by the present authors in cite{ah10}. in this paper we use these notions to define a scheme. for an $r$-module $m$, let $x:={qin qspec(m) mid (q:_r m)inspec(r)}$. it is proved that $(x, mathcal{o}_x)$ is a locally ringed space. we study the morphism of locally ringed spaces induced by $r$-homomorphism $mrightar...

In this article, the authors establish wavelet characterization of Besov and Triebel–Lizorkin spaces on a given space (X,d,μ) homogeneous type in sense Coifman Weiss. Moreover, introduce almost diagonal operators sequence X, obtain their boundedness. Using boundedness operators, molecular spaces. Applying characterization, further Littlewood–Paley characterizations X. The main novelty article i...

dynamically adaptive numerical methods have been developed to find solutions for differential equations. thesubject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions fordifferential equations. wavelets have the ability to show functions at different levels of resolution. in this paper, a numerical method is proposed for solving the second pain...

The goal of this paper is to obtain atomic and wavelet characterizations Musielak–Orlicz Hardy spaces. Recently, in 2018, Fu Yang obtained spaces for growth functions uniformly upper type $$p_-$$ lower $$p_+$$ with $$0<p_- \le p_+\le 1$$ . What different from the existing works that we merely assume p_+<\infty $$ One important tools make it possible refine convexity Orlicz by obtaining canonica...

the aim of this short note is to introduce the concepts of prime and semiprime ideals in ordered ag-groupoids with left identity. these concepts are related to the concepts of quasi-prime and quasi-semiprime ideals, play an important role in studying the structure of ordered ag-groupoids, so it seems to be interesting to study them.