On the interpolation of discontinuous functions

DOI10.1016/J.JAT.2012.02.003zbMath1248.41003arXiv1009.2954OpenAlexW1983106561MaRDI QIDQ420772

Cristian Tacelli, Michele Campiti, Giusy Mazzone

Publication date: 23 May 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2954

zbMATH Keywords

interpolationHurwitz zeta functionstatistical convergencediscontinuous functionsLerch zeta function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Cites Work

• Unnamed Item
• Unnamed Item
• On the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators
• Behavior of bivariate interpolation operators at points of discontinuity of the first kind
• Statistical Limit Points
• Special Values of the Lerch Zeta Function and the Evaluation of Certain Integrals
• Interpolation Processes
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Lagrange interpolation for continuous functions of bounded variation
• Statistical limit superior and limit inferior
• Statistical approximation by positive linear operators

This page was built for publication: On the interpolation of discontinuous functions