It is shown that the Fourier coefficients of functions of $\Lambda$-bounded variation, $\Lambda = \{\lambda_n\}$, are $O(\lambda_n/n)$. This was known for $\lambda_n ...

We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [−1, 1] by extending these functions to periodic functions on a larger domain. The series may be evaluated, ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about ...

THE theory of functions of a real variable is a subject of fairly recent date and is necessarily expanding as new theorems are discovered and fresh generalisations effected. On the other hand, the ...

AT the thirty-second session of the Indian Science Congress, held at Nagpur in 1945, Dr. B. N. Prasad, president of the Section of Mathematics and Statistics, delivered an address on the summability ...