Application of Mhaskar-Prestin operators to the convergence of orthonormal expansions

2010 ◽  
Vol 283 (8) ◽  
pp. 1155-1170
Author(s):  
H. P. Mashele
Keyword(s):  
Orthonormal Expansions

scholarly journals Note on orthonormal expansions

1974 ◽  
Vol 11 (2) ◽  
pp. 203-204
Author(s):  
Charles C Miao ◽  
G Adomian
Keyword(s):  
Orthonormal Expansions

scholarly journals Orthonormal expansions of invariant densities for expanding maps

2005 ◽  
Vol 192 (1) ◽  
pp. 1-34 ◽  
Author(s):  
Oliver Jenkinson ◽  
Mark Pollicott
Keyword(s):  
Expanding Maps ◽  
Invariant Densities ◽  
Orthonormal Expansions

Orthonormal expansions and the principle of uniform boundedness

1991 ◽  
Vol 43 (2) ◽  
pp. 341-347
Author(s):  
S.A. Husain ◽  
V.M. Sehgal
Keyword(s):  
Sufficient Conditions ◽  
Uniform Boundedness ◽  
Necessary And Sufficient Conditions ◽  
Complex Numbers ◽  
Orthonormal Sequence ◽  
Necessary And Sufficient ◽  
Complex Valued ◽  
Orthonormal Expansions

Let {φν: ν ∈ N (non-negative integers)} ⊆ C[0, 1] be a complete orthonormal sequence of complex-valued functions in L2[0, 1], {λν: ν ∈ N} and {λνμ: ν, μ ∈ N} be sequences of complex numbers. In this paper, the necessary and sufficient conditions are developed for the series to converge and also to exist, in C[0, 1] for each f ∈ L1[0, 1] where .

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