Work

Arithmetic Means of Fourier Coefficients

Year: 1976

Type: article

Abstract: Given the Fourier coefficients of an even continuous function, we find a necessary and sufficient condition such that their arithmetic means are the Fourier coefficients of an odd continuous function. A similar result is shown for those Lipschitz classes whose elements are automatically equivalent to continuous functions.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-1976-0397274-9

Author: Rajendra Sinha

Institutions: Purdue University West Lafayette, Birla Institute of Technology and Science, Pilani

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2068720381

FWCI: 0.554

Cites: 9

Cited by: 1

Related to: 10