• Babu Ram

Articles written in Proceedings – Mathematical Sciences

• On the integral modulus of continuity of Fourier series

We obtain an estimate for the integral modulus of continuity of orderk of Fourier series with coefficients satisfying:av→0 and Σv=1v22(av/v)|&lt;∞.

• Integrability andL1-convergence of sine series with generalized quasi-convex coefficients

In this paper we obtain a necessary and sufficient condition for the sine series with generalized quasi-convex coefficients to be a Fourier series. Also we studyL1-convergence of this series under the said condition on the coefficients.

• OnL1-convergence of modified complex trigonometric sums

We study hereL1-convergence of a complex trigonometric sum and obtain a new necessary and sufficient condition for theL1-convergence of Fourier series.

• L1-convergence of complex double fourier series

It is proved that the complex double Fourier series of an integrable functionf(x, y) with coefficients cjk satisfying certain conditions, will converge in L1-norm. The conditions used here are the combinations of Tauberian condition of Hardy-Karamata kind and its limiting case. This paper extends the result of Bray [1] to complex double Fourier series.

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019