The SC n P-Integral and the P n+1 -Integral
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1274-1284

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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.
Bullen, P. S.; Lee, C. M. The SC n P-Integral and the P n+1 -Integral. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1274-1284. doi: 10.4153/CJM-1973-134-7
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