Rate of Convergence of Modified Schurer-Type q-Bernstein Kantorovich Operators

Autor:	Purshottam Narain Agrawal, Manjari Sidharth
Rok vydání:	2015
Předmět:	Lipschitz class Rate of convergence Approximation theorem Applied mathematics Derivative Function (mathematics) Type (model theory) Statistical convergence Modulus of continuity Mathematics
Zdroj:	Springer Proceedings in Mathematics & Statistics ISBN: 9788132224846
DOI:	10.1007/978-81-322-2485-3_19
Popis:	Lin (J. Inequal. Appl. 465, 2014 [10]) introduced a new modified Schurer-type q-Bernstein Kantorovich operators and discussed a local approximation theorem and the statistical convergence of these operators. In this paper we study the rate of convergence by means of the first-order modulus of continuity, Lipschitz class function, the modulus of continuity of the first-order derivative and the Voronovskaja-type theorem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5d3b099089c778a57a5d8ef0a8d26225 https://doi.org/10.1007/978-81-322-2485-3_19 Zobrazit plný text záznamu