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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The $\textrm {SC}_{k+1}\ \textrm {P}$-integral and trigonometric series
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by G. E. Cross PDF
Proc. Amer. Math. Soc. 69 (1978), 297-302 Request permission

Abstract:

Recently P. S. Bullen and C. M. Lee defined a scale of symmetric Cesร ro-Perron integrals, but left open the question of whether their $S{C_{k + 1}}P$-integral solves the coefficient problem for (C, k) summable series. This paper gives an affirmative answer to that question under natural conditions.
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 297-302
  • MSC: Primary 26A39; Secondary 42A24
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0476946-3
  • MathSciNet review: 0476946