Volume 7 Number 4 (Oct. 2017)
Home > Archive > 2017 > Volume 7 Number 4 (Oct. 2017) >
IJAPM 2017 Vol.7(4): 284-290 ISSN: 2010-362X
doi: 10.17706/ijapm.2017.7.4.284-290

A Note on the Inequalities for Partial Affine System-Based Frames

Yu Tian
Abstract—In this article, partial affine system-based frames is studied. We obtain some inequalities in form of matrix for a partial affine system to be a partial affine frame in the setting of subspaces of L2(ℝ). The results improve known ones by W. Sun, Chui, Shi, and Chen, Ron and Shen.

Index Terms—Frame, wavelet frame, partial affine system.

The author is with College of Applied Sciences, Beijing University of Technology, Pingle Yuan 100, Beijing, 100124, P. R. China (email: yutian@emails.bjut.edu.cn).

Cite: Yu Tian, "A Note on the Inequalities for Partial Affine System-Based Frames," International Journal of Applied Physics and Mathematics vol. 7, no. 4, pp. 284-290, 2017.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Engineering & Technology Digital Library, Nanowerk Database, Google Scholar and ProQuest
E-mail: ijapm@iap.org
  • Mar 11, 2016 News!

    IJAPM Vol.5, No.3 has been indexed by EI (Inspec).   [Click]

  • Sep 28, 2017 News!

    Vol 7, No 4 has been published with online version     [Click]

  • Aug 10, 2017 News!

    The papers published in Vol 7, No 3 have all received dois from Crossref

  • Jul 21, 2017 News!

    Vol 7, No 3 has been published with online version     [Click]

  • Feb 22, 2017 News!

    The papers published in Vol.7, No.2 have all received dois from Crossref.

  • Read more>>