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Tauberian Conditions For V-Convergence Of Fourier Series, Caslav V. Stanojevic
Tauberian Conditions For V-Convergence Of Fourier Series, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
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.