Summability of a Tchebysheff system of functions

We consider a special type of Tchebysheff systems of functions {ui(⋅)}in=0 and {Vi(⋅)}in=0 defined on the intervals (0, 1] and [1,+∞), respectively, such that ui(t)=tα0∫t1t1α1∫t11t2α2…∫ti−11tiαidtidti−1…dt1 and ui(t)=tβ0∫1tt1β1∫1t1t2β2…∫1ti−1tiβidtidti−1…dt1. We find necessary and sufficient conditi...

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Bibliographic Details
Main Authors: Z. T. Abdikalikova, A. A. Kalybay
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2010/405313
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