Open AccessApproximation by generalized integral Favard-Szász type operators involving Sheffer polynomials
Author(s) -
Seda Karateke,
Çíğdem Atakut,
İbrahim Büyükyazıcı
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1907921k
Subject(s) - mathematics , type (biology) , generalization , operator (biology) , convergence (economics) , order (exchange) , maple , modulus of continuity , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , ecology , biochemistry , chemistry , botany , finance , repressor , gene , transcription factor , economics , biology , economic growth
This article deals with the approximation properties of a generalization of an integral type operator in the sense of Favard-Sz?sz type operators including Sheffer polynomials with graphics plotted using Maple. We investigate the order of convergence, in terms of the first and the second order modulus of continuity, Peetre?s K-functional and give theorems on convergence in weighted spaces of functions by means of weighted Korovkin type theorem. At the end of the work, we give some numerical examples.