ON THE $||T||\cdot C_1$ SUMMABILITY OF A SEQUENCE OF FOURIER COEFFICIENTS
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Abstract
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).
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References
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