Abstract
We investigate the relationship between best approximations by elements of closed convex cones and the estimation of functionals on an inner product space (X, <⊙,⊙>) in terms of the inner product on X.
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References
Cristescu, R., Espaces Linearies Topologiques, (Romainian), Ed Acad. Bucharest, 1974.
Deutsch, F. and Maserick, P., Applications of the Hahn-Banach Theorem in Approximation Theory, SIAM Review 9(1967), 516–530.
Dragomir, S. S., Best Approximation in pre-Hilbertian Spaces and Applications to Continuous Sublinear Functionals, Anal. Univ. Timisoara, Ser St. Mat. 29(1991), 137–146.
Dragomir, S. S., On Sublinear Functionals in Real Hilbert Spaces, (Romanian) Stud. Cerc. Mat. 41(1989), 23–32.
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Dragomir, S.S., Mabizela, S. Functional inequalities and best approximation. Approx. Theory & its Appl. 14, 90–98 (1998). https://doi.org/10.1007/BF02836933
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DOI: https://doi.org/10.1007/BF02836933