Work

Rate of convergence of Fourier–Legendre series of functions of the class (n^α)BV^p [−1, 1]

Year: 2024

Type: article

Abstract: In this paper, the rate of convergence of the Fourier–Legendre series of functions of the class (nα)BVp[−1, 1] and in particular, the class BVp[−1, 1], are estimated. The result obtained is a similar to a result of Bojani´c and Vuilleumier for the Fourier–Legendre series of functions of bounded variation, and is applicable to wider class.

Source: Acta et Commentationes Universitatis Tartuensis de Mathematica

DOI: 10.12697/acutm.2024.28.12

Authors: Rameshbhai Bera, Bhikha Ghodadra

Institution: Maharaja Sayajirao University of Baroda

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Council of Scientific and Industrial Research, India

Award: G4867707873