Approximation of p-bounded variation functions by generalized de la Vallée Poussin means of negative order
The rate of convergence of negative order generalized de la Vallee Poussin means of the Fourier series of a 2?-periodic function of p-bounded variation, is estimated. The result can be viewed as generalization of a result of well-known Weiner?s theorem and quantitative version of it.
Authors
- Bhikha Lila Ghodadra (ORCID: https://orcid.org/0000-0001-6294-606X)
- R. K. Bera (ORCID: https://orcid.org/0009-0002-5973-348X)
Institutions
- Maharaja Sayajirao University of Baroda (IN)
Publication Details
- Journal
- Publications de l Institut Mathematique
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/pim2531083b
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Council of Scientific and Industrial Research, India