Work

Uniform convergence of basic Fourier–Bessel series on a q-linear grid

Year: 2018

Type: article

Abstract: We study Fourier–Bessel series on a q -linear grid, defined as expansions in complete q -orthogonal systems constructed with the third Jackson q -Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q -Fourier–Bessel series.

Source: The Ramanujan Journal

DOI: 10.1007/s11139-018-0070-3

Authors: L. D. Abreu, R. Álvarez-Nodarse, J. L. Cardoso

Institutions: Austrian Academy of Sciences, Acoustics Research Institute, Universidad de Sevilla, University of Trás-os-Montes and Alto Douro

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Austrian Science Fund, Ministerio de Economía y Competitividad, Universidade de Coimbra, Fundação para a Ciência e a Tecnologia