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Full-Text Articles in Mathematics
Generalizations Of The Sidon-Telyakovskii Theorem, Caslav V. Stanojevic, Vera B. Stanojevic
Generalizations Of The Sidon-Telyakovskii Theorem, Caslav V. Stanojevic, Vera B. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
The well-known Sidon-Telyakovskii integrability condition is considerably lightened as follows. © 1987 American Mathematical Society.
On Weighted Integrability Of Trigonometric Series And L¹-Convergence Of Fourier Series, William O. Bray, Caslav V. Stanojević
On Weighted Integrability Of Trigonometric Series And L¹-Convergence Of Fourier Series, William O. Bray, Caslav V. Stanojević
Mathematics and Statistics Faculty Research & Creative Works
Result concerning integrability of f(x)L(l/x)(g(x)L(l/x)), where f(x)(g(x)) is the pointwise limit of certain cosine (sine) series and L(•) is slowly vary in the sense of Karamata [5] is proved. Our result is an excludedďcase in more classical results (see [4]) and also generalizes a result of G. A. Fomin [1]. Also a result of Fomin and Telyakovskii [6] concerning L1-convergence of Fourier series is generalized. Both theorems make use of a generalized notion of quasi-monotone sequences. © 1986 American Mathematical Society.
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.