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Article

Some New Inequalities for Dual Continuous g-Frames

by 1 and 2,*
1
Department of Information Engineering, Henan Finance University, Zhengzhou 451464, China
2
School of Mathematics and Information Sciences, Henan University of Economics and Law, Zhengzhou 450046, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 662; https://doi.org/10.3390/math7080662
Received: 23 May 2019 / Revised: 14 July 2019 / Accepted: 22 July 2019 / Published: 24 July 2019
In the present paper, we establish new inequalities for dual continuous generalized frames by adopting operator methods. The inequalities are parameterized by the parameter λ R . These results generalize those obtained by Balan, Casazza and Găvruţa and cover recently obtained results by Zhang and Li in [Zhang, W.; Li, Y.Z. New inequalities and erasures for continuous g-frames. Math. Rep. 2018, 20, 263–278]. Moreover, we also give an upper bound of inequality for alternate continuous generalized frames in Hilbert spaces. It differs from previous results. View Full-Text
Keywords: continuous g-frames; dual continuous g-frames; inequality continuous g-frames; dual continuous g-frames; inequality
MDPI and ACS Style

Fu, Y.; Zhang, W. Some New Inequalities for Dual Continuous g-Frames. Mathematics 2019, 7, 662. https://doi.org/10.3390/math7080662

AMA Style

Fu Y, Zhang W. Some New Inequalities for Dual Continuous g-Frames. Mathematics. 2019; 7(8):662. https://doi.org/10.3390/math7080662

Chicago/Turabian Style

Fu, Yanling, and Wei Zhang. 2019. "Some New Inequalities for Dual Continuous g-Frames" Mathematics 7, no. 8: 662. https://doi.org/10.3390/math7080662

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