Best Simultaneous Approximation in Orlicz Spaces
Copyright policy )Best Simultaneous Approximation in Orlicz Spaces
LetXbe a Banach space and letLΦ(I,X)denote the space of OrliczX-valued integrable functions on the unit intervalIequipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, whereGis a closed subspace ofX, andf1,f2∈LΦ(I,X). Moreover, some related results concerning best simultaneous approximation inLΦ(I,X)are presented.
- International University in Moscow Russian Federation
- Yarmouk University Jordan
Theory of Banach Spaces and Operators, Statistics and Probability, Banach space valued functions, Orlicz Spaces, Statistical Convergence in Approximation Theory and Functional Analysis, Iterative Algorithms for Nonlinear Operators and Optimization, Computer science, Algorithm, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Computational Theory and Mathematics, Banach spaces of continuous, differentiable or analytic functions, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, best approximation, Mathematical Physics, Mathematics
Theory of Banach Spaces and Operators, Statistics and Probability, Banach space valued functions, Orlicz Spaces, Statistical Convergence in Approximation Theory and Functional Analysis, Iterative Algorithms for Nonlinear Operators and Optimization, Computer science, Algorithm, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Computational Theory and Mathematics, Banach spaces of continuous, differentiable or analytic functions, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, best approximation, Mathematical Physics, Mathematics
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