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Some New Inequalities for Dual Continuous g-Frames

Author

Listed:
  • Yanling Fu

    (Department of Information Engineering, Henan Finance University, Zhengzhou 451464, China)

  • Wei Zhang

    (School of Mathematics and Information Sciences, Henan University of Economics and Law, Zhengzhou 450046, China)

Abstract

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.

Suggested Citation

  • Yanling Fu & Wei Zhang, 2019. "Some New Inequalities for Dual Continuous g-Frames," Mathematics, MDPI, vol. 7(8), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:662-:d:251369
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    Cited by:

    1. Zhong-Qi Xiang, 2019. "New Inequalities of Weaving K -Frames in Subspaces," Mathematics, MDPI, vol. 7(9), pages 1-12, September.

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