On Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators

Autor: Tuncer Acar, Ali Aral, Syed Abdul Mohiuddine
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-14 (2016)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-016-1045-9
Popis: Abstract The concern of this paper is to introduce a Kantorovich modification of ( p , q ) $( p,q ) $ -Baskakov operators and investigate their approximation behaviors. We first define a new ( p , q ) $( p,q ) $ -integral and construct the operators. The rate of convergence in terms of modulus of continuities, quantitative and qualitative results in weighted spaces, and finally pointwise convergence of the operators for the functions belonging to the Lipschitz class are discussed.
Databáze: Directory of Open Access Journals