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Refinements of some numerical radius inequalities for Hilbert space operators
摘要
Some power inequalities for the numerical radius based on the recent Dragomir extension of Furuta's inequality are established. Some particular cases are also provided. Moreover, we get an improvement of the Hölder-McCarthy operator inequality in the case when r≧1 and refine generalized inequalities involving powers of the numerical radius for sums and products of Hilbert space operators.
延伸閱讀
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- Chang, Y. C. (2010). Self-adjoint solutions for a class of operator equations in Hilbert space [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-1901201111415344
- Duan, P. C., & Wang, A. H. (2012). General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces. Journal of Applied Mathematics, 2012(), 1157-1173-472. https://doi.org/10.1155/2012/602513
- Wangkeeree, R., & Boonman, P. (2012). The System of Mixed Equilibrium Problems for Quasi-Nonexpansive Mappings in Hilbert Spaces. Journal of Applied Mathematics, 2012(), 1119-1135-168. https://doi.org/10.1155/2012/282094
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