This paper is concerned with the variation detracting property and the rate of approximation of the Bernstein, Kantorovich and Szasz-Mirakjan operators, as well as of general singular convolution operators. These problems are studied with respect to the variation seminorm. The chief aim is the approach for multivariate convolution integrals, not standard in approximation, employing the theory of functions of bounded variation in the sense of Tonelli, perfected by the work of T.Radò and C. Vinti

Convergence in Variation and Rate of Approximation for Bernstein-type Polynomials and Singular Convolution Integrals

BARDARO, Carlo;VINTI, Gianluca
2003

Abstract

This paper is concerned with the variation detracting property and the rate of approximation of the Bernstein, Kantorovich and Szasz-Mirakjan operators, as well as of general singular convolution operators. These problems are studied with respect to the variation seminorm. The chief aim is the approach for multivariate convolution integrals, not standard in approximation, employing the theory of functions of bounded variation in the sense of Tonelli, perfected by the work of T.Radò and C. Vinti
2003
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/6030
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 69
  • ???jsp.display-item.citation.isi??? ND
social impact