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The SCnP-Integral and the Pn+1-Integral
Published online by Cambridge University Press: 20 November 2018
Extract
In [2], we have briefly described, as examples of the general theory developed there, a scale of symmetric Cesaro-Perron integrals, namely SCnP-integral for n = 1, 2, 3, … . The purpose of this paper is to consider the integrals in a greater detail.
As a preliminary, we prove some lemmas, which are also interesting for their own sake, concerning the de la Vallée Poussin derivatives in Section 1, and we also state two deep theorems concerning the n-convex functions in Section 2.
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- Copyright © Canadian Mathematical Society 1973
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