Abstract
It is proved that Fourier series with asymptotically even coefficients and satisfying (formula present here), for some 1 < p < 2, converge in L1-norm if and only if (formula present here), where En(t) =Σk=0neiktRecent results of Stanojevic [1], Bojanic and Stanojevic [2], and Goldberg and Stanojevic [3] are special cases of some corollaries to the main theorem. © 1982 American Mathematical Society.
Recommended Citation
C. V. Stanojevic, "Tauberian Conditions For V-convergence Of Fourier Series," Transactions of the American Mathematical Society, vol. 271, no. 1, pp. 237 - 244, American Mathematical Society, Jan 1982.
The definitive version is available at https://doi.org/10.1090/S0002-9947-1982-0648089-2
Department(s)
Mathematics and Statistics
Keywords and Phrases
L -convergence of Fourier series 1
International Standard Serial Number (ISSN)
0002-9947
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 1982
