Summability of a Tchebysheff system of functions
We consider a special type of Tchebysheff systems of functions and defined on the intervals (0, 1] and [1,+∞), respectively, such that and . We find necessary and sufficient conditions under which functions from the investigated systems belong to the corresponding Lebesgue spaces Lp(0, 1) and Lp(1,+∞). In order to prove the main results we obtain lower and upper estimates of these functions that are of independent interest.
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