


Paper's Title:
1type PseudoChebyshev Subspaces in Generalized 2normed Spaces
Author(s):
Sh. Rezapour
Department of Mathematics, Azarbaijan University of Tarbiat Moallem,
Azarshahr, Tabriz,
Iran
sh.rezapour@azaruniv.edu
Abstract:
We construct a generalized 2normed space from every normed space. We introduce 1type pseudoChebyshev subspaces in generalized 2normed spaces and give some results in this field.
Paper's Title:
On εsimultaneous Approximation in Quotient Spaces
Author(s):
H. Alizadeh, Sh. Rezapour, S. M. Vaezpour
Department of
Mathematics, Aazad
Islamic University, Science and Research Branch, Tehran,
Iran
Department of Mathematics, Azarbaidjan
University of Tarbiat Moallem, Tabriz,
Iran
Department of Mathematics, Amirkabir
University of Technology, Tehran,
Iran
alizadehhossain@yahoo.com
sh.rezapour@azaruniv.edu
vaez@aut.ac.ir
URL:http://www.azaruniv.edu/~rezapour
URL:http://mathcs.aut.ac.ir/vaezpour
Abstract:
The purpose of this paper is to develop a theory of best simultaneous approximation to εsimultaneous approximation. We shall introduce the concept of εsimultaneous pseudo Chebyshev, εsimultaneous quasi Chebyshev and εsimultaneous weakly Chebyshev subspaces of a Banach space. Then, it will be determined under what conditions these subspaces are transmitted to and from quotient spaces.
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