Advances in wavelet transforms and quantization methods have produced algorithms capable of surpassing the existing image compression standards like the Joint Photographic Experts Group (JPEG) algorithm. For best performance in image compression, wavelet transforms require filters that combine a number of desirable properties, such as orthogonality and symmetry. However, the design possibilitie...

The paper generalizes Lawton s criteria for scaling vectors by means of Kronecker products Necessary and su cient conditions for the stability orthonormality of scaling vectors are provided in terms of their two scale symbols The paper is based on the results of Shen x Introduction Usually the construction of multiwavelets is based on a multiresolution anal ysis MRA with higher multiplicity In ...

A plenty of research about thresholding methods in wavelet domain has been proposed by many authors. Multiwavelet domain can be decomposed as scalar wavelets and differently according to the structure of scaling functions. When scaling functions are symmetric-antisymmetric, the antisymmetric part is low pass filter in mathematical formula. But in practice it works as high pass filter because of...

In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral.

Toothbrushing is fundamental to oral hygiene. Children differ in manual dexterity and their grip on toothbrushes. We videotaped toothbrushing sessions and observed the grip type, duration of brushing, and brushing technique used among 100 children aged 8-12 years. We then investigated the association between grip type and plaque removal, using plaque scores obtained at various time points. We f...

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.

Abstract. Gröchenig and Madych showed that a Haar-type wavelet basis of L2(Rn) can be constructed from the characteristic function χΩ of a compact set Ω if and only if Ω is an integral self-affine tile of Lebesgue measure one. In this paper we generalize their result to the multiwavelet settings. We give a complete characterization of Haar-type scaling function vectors χΩ(x) := [χΩ1 (x), . . . ...