Schauder bases and best approximation
Schauder decomposition and best approximation in Banach Spaces
Sigma order continuity and best approximation in -spaces
In this paper we give a characterization of -order continuity of modular function spaces in terms of the existence of best approximants by elements of order closed sublattices of . We consider separately the case of Musielak–Orlicz spaces generated by non--finite measures. Such spaces are not modular function spaces and the proofs require somewhat different methods.
Simultaneous Approximation and Chebyshev Centres in Metric Spaces
Simultaneous approximation in negative norms of arbitrary order
Solving Complex Approximation Problems by Semiinfmite - Finite Optimization Techniques : A Study on Convergence.
Some characterizations of best approximations
Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
The purpose of this paper is to establish some common fixed point results for -nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
Some fixed point theorems with applications to best simultaneous approximations.
Some new deterministic and random variational inequalities and their applications.
Some Polynomial Approximation Operators.
Some positive Cotes numbers for the Chebyshev weight function.
Some Remarks on M-convexity and Best Approximation
Some Result About Approximation Of Sets By Finite Sets In Normed Spaces
Some results concerning best uniform coapproximation.
Stetigkeitsaussagen bei der Tschebyscheff-Approximation mit Exponentialsummen.
Strict Chebyshev Approximation for General Systems of Linear Equations.
Strong unicity criterion in some space of operators
Let be a finite dimensional Banach space and let be a hyperplane. Let . In this note, we present sufficient and necessary conditions on being a strongly unique best approximation for given . Next we apply this characterization to the case of and to generalization of Theorem I.1.3 from [12] (see also [13]).
Strong uniqueness.
Strong Uniqueness and Second Order Convergence in Nonlinear Discrete Approximation.