We consider the problem of computing wavelet coefficients of compactly supported functions from their Fourier samples. For this, we use the recently introduced framework of generalized sampling in the context of compactly supported orthonormal wavelet bases. Our first result demonstrates that using generalized sampling one obtains a stable and accurate reconstruction, provided the number of Fou...

We formalize the notion of vector semi-inner products and introduce a class seminorms which are built from these maps. The classical Pythagorean theorem parallelogram law then generalized to that have geometric mean closed lattice for codomain. In special case this codomain is square root closed, semiprime $f$-algebra, we provide sharpening triangle inequality as well condition equality.

this study was an attempt to find out to what extent efl learners at different levels of language proficiency experience inner speech as mental rehearsal and to identify some of the characteristics and functions of their inner speech. for this purpose, one hundred seventy-four iranian female students majoring in english translation at islamic azad university, tehran central branch, took part in...

Objective: It is extremely common for adults to use inner speech to regulate their behavior. Despite this, little is known about the underlying processes that may explain why people use inner speech differently. This study aimed to determine the relationship between different types of inner speech with symptoms of anxiety, depression, somatization, and distress in normal people. Methods: The r...

In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on $C^{*}$-semi-inner product spaces.

in this paper, a new class of multifunctions, called generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions, has been dened and studied. some characterizations and severalproperties concerning generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions are obtained. the re-lationships between generalized alpha (mu_{x};mu_{ y} )-continuous multifunctions and some known con-ce...

In this article, we prove an inner product inequality for Hilbert space operators. This inequality, then, is utilized to present a general numerical radius using convex functions. Applications of the new results include obtaining forms that generalize and extend some well known in literature, with application newly defined generalized radius. We emphasize approach followed article different fro...

The generalized eigenvalue problem for a symmetric definite matrix pencil obtained from finite-element modeling of electroelastic materials is solved numerically by the Lanczos algorithm. mass singular in considered problem, and therefore process proceeds with semi-inner product defined this matrix. shift-and-invert algorithm used to find multiple eigenvalues closest some shift corresponding ei...

Abstract We establish two types of estimates for generalized derivatives set-valued mappings which carry the essence basic patterns observed throughout pile calculus rules. These also illustrate role essential assumptions that accompany these patters, namely calmness on one hand and (fuzzy) inner calmness* other. Afterwards, we study relationship between sufficient conditions various notions (i...