Open AccessON THE $||T||\cdot C_1$ SUMMABILITY OF A SEQUENCE OF FOURIER COEFFICIENTS
Author(s) -
Madan Lal Mittal,
Govind Prasad,
Rajesh Kumar
Publication year - 1991
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.22.1991.4566
Subject(s) - mathematics , sequence (biology) , combinatorics , chemistry , biochemistry
Mohanty and Nanda (1959) were the first to establish a result for the $(C,1)$ i.e. $C_1$-summability of the sequence $\{n B_n(x)\}$. Varshney (1959) improved the result for $(N, \frac{1}{n+1} ) \cdot C_1$ summability which was generalised by several investiga- tors such as Sharma (1970), Singh (1963), Lal (1971), Khare and Singh (1988) etc. In this note, we have·discussed $||T||\cdot C_1$-summability of the sequence $\{n B_x(x)\}$ which includes the result due to Khare and Singh (1988).