The rotation curves of a sample of 46 low- and high-surface brightness galaxies are considered in the context of Milgrom's modi_ed dynamics (MOND) to test a new interpolating function proposed by Zhao et al. (2010) [1] and compare with the results of simple interpolating function. The predicted rotation curves are calculated from the total baryonic matter based on the B-band surface photometry,...

In this paper we construct a one–parameter family of interpolating multigenerators which generalize the scalar generators constructed in [2] in a natural way. Furthermore we extend this approach to design a family of interpolating orthonormal multigenerators. The construction is based on the factorization techniques introduced in [21].

This paper is devoted to an innovative and efficient technique for solving space–time fractional differential equations (STFPDEs). To this end, we apply the Tau method such that bases used are interpolating scaling functions (ISFs). The operational metrics derivative operator integration introduce matrix Caputo derivative. Due some characteristics of ISFs, as interpolation, computation costs ca...

This paper considers the classical sampling theorem in multiresolution spaces with scaling functions as interpolants. As discussed by Xia and Zhang, for an orthogonal scaling function to support such a sampling theorem, the scaling function must be cardinal (interpolating). They also showed that the only orthogonal scaling function that is both cardinal and of compact support is the Haar functi...

Dyadic translations of the interpolating scaling function generate a basis that can be used to approximate functions and develop a multiresolution methodology for constructing smooth surfaces or curves. Many wavelet methods for solving partial differential equations are also derived from the interpolating scaling function. However, little is done for developing a higher order numerical discreti...

the rotation curves of a sample of 46 low- and high-surface brightness galaxies are considered in the context of milgrom's modi_ed dynamics (mond) to test a new interpolating function proposed by zhao et al. (2010) [1] and compare with the results of simple interpolating function. the predicted rotation curves are calculated from the total baryonic matter based on the b-band surface photometry,...

The classical theorems of Mittag-Leffler and Weierstrass show that when $$(\lambda _n)_{n \geqslant 1}$$ is a sequence distinct points in the open unit disk $$\mathbb {D}$$ , with no accumulation $$(w_n)_{n any complex numbers, there an analytic function $$\varphi $$ on for which (\lambda _n) = w_n$$ . A celebrated theorem Carleson [2] characterizes when, bounded this interpolating problem can ...