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This paper aims to present a new lower bound for some inequalities related to Frames in Hilbert space. Some refinements of the inequalities for general frames and alternate dual frames under suitable conditions are given. These results refine the remarkable results obtained by Balan et al. and Gavruta.
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참고문헌 (13)
참고문헌 신청
R. Balan / 2007 / A new identity for Parseval frames / Proc. Amer. Math. Soc 135:1007~1015
P. G. Casazza / 2000 / The art of frame theory / Taiwanese J. Math 4:129~201
P. G. Casazza / 2004 / Frames of subspaces , Wavelets, frames and operator theory / Con-temp. Math 345:87~113
O. Christensen / 2016 / An introduction to frames and Riesz bases / springer
I. Daubechies / 1992 / Ten Lectures on Wavelets / SIAM
P. G. Casazza / 2000 / The art of frame theory / Taiwanese J. Math 4:129~201
P. G. Casazza / 2004 / Frames of subspaces , Wavelets, frames and operator theory / Con-temp. Math 345:87~113
O. Christensen / 2016 / An introduction to frames and Riesz bases / springer
I. Daubechies / 1992 / Ten Lectures on Wavelets / SIAM
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