King type generalization of Baskakov operators based on (𝑝, 𝑞) calculus with better approximation properties

Autor:	Vishnu Narayan Mishra, Shikha Pandey, Lakshmi Narayan Mishra
Rok vydání:	2020
Předmět:	Numerical Analysis Applied Mathematics 010102 general mathematics medicine.disease 01 natural sciences Type generalization 010101 applied mathematics Algebra Baskakov operator medicine 0101 mathematics Analysis Calculus (medicine) Mathematics
Zdroj:	Analysis. 40:163-173
ISSN:	2196-6753 0174-4747
DOI:	10.1515/anly-2019-0054
Popis:	Approximation using linear positive operators is a well-studied research area. Many operators and their generalizations are investigated for their better approximation properties. In the present paper, we construct and investigate a variant of modified ( p , q ) (p,q) -Baskakov operators, which reproduce the test function x 2 x^{2} . We have determined the order of approximation of the operators via K-functional and second order, the usual modulus of continuity, weighted and statistical approximation properties. In the end, some graphical results which depict the comparison with ( p , q ) (p,q) -Baskakov operators are explained and a Voronovskaja type result is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::96f37dde7e73be4b62dfa54d430a20d5 https://doi.org/10.1515/anly-2019-0054 Zobrazit plný text záznamu