S. S. Bhatia, K. Kaur, B. Ram, “$L^1$-convergence of modified complex trigonometric sums”, Lobachevskii J. Math., 2003, том 12,страницы 3

$L^1$-convergence of modified complex trigonometric sums

S. S. Bhatia^ab, K. Kaur^ba, B. Ram^ab

^a School of Mathematics and Computer Applications, Thapar Institute of Engineering and Technology
^b Maharshi Dayanand University

Аннотация: In this paper we study $L^1$-convergence of modified complex trigonometric sums introduced by Ram and Kumari [2] and obtain a necessary and sufficient condition for $L^1$-convergence of Fourier series under a new class ${\rm K}^*$ of coefficients.

Ключевые слова: $L^1$-convergence of modified complex trigonometric sums, $L^1$-convergence of Fourier series, Dirichlet kernel.

Представлено: Ф. Г. Авхадиев
Поступило: 14.10.2002

Язык публикации: английский