B K Ray
Articles written in Proceedings – Mathematical Sciences
Volume 105 Issue 3 August 1995 pp 315-327
Degree of approximation of functions by the (
Volume 106 Issue 1 February 1996 pp 13-38
We study the absolute Euler summability problem of some series associated with Fourier series and its conjugate series generalizing some known results in the literature. Also, it is shown that absolute Euler summability of rth derived Fourier series and rth derived conjugate series can be ensured under local conditions.
Volume 106 Issue 2 May 1996 pp 139-153
The paper studies the degree of approximation of functions by matrix means of their Fourier series in the generalized Hölder metric, generalizing many known results in the literature
Volume 107 Issue 2 May 1997 pp 169-182
After establishing the Fourier character of the series the authors have studied the degree of approximation of functions associated with the same series in the Hölder metric using Borel’s mean.
Volume 107 Issue 4 November 1997 pp 391-403
We first introduce a new trigonometric method of summation and then prove some Abelian and Tauberian theorems for this method.
Volume 108 Issue 2 June 1998 pp 109-120
The paper studies the degree of approximation of functions associated with Hardy Littlewood series in the generalized Hölder metric.
Volume 109 Issue 2 May 1999 pp 203-209
The main purpose of the present paper is to introduce a new type of mean of a function and to study some of its special properties. In the last section we make use of this mean to show that a function of bounded deviation is not necessarily a function of bounded variation.
Volume 112 Issue 2 May 2002 pp 299-319
The object of the present investigation is to introduce a new trigonometric method of summation which is both regular and Fourier effective and determine its status with reference to other methods of summation (see §2-§4) and also give an application of this method to determine the degree of approximation in a new Banach space of functions conceived as a generalized Holder metric (see §5).