In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss-Weierstrass, or Picard or moment type operators. Pointwise convergence theorems are studied, using a Korovkin-type theorem and a Voronovskaja-type formula is obtained.

A Class of Integral Operators that Fix Exponential Functions

BARDARO Carlo;MANTELLINI Ilaria
;
2021

Abstract

In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss-Weierstrass, or Picard or moment type operators. Pointwise convergence theorems are studied, using a Korovkin-type theorem and a Voronovskaja-type formula is obtained.
2021
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/11391/1497726
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 4
social impact