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King type generalization of Baskakov operators based on (p,q) calculus with better approximation properties
, S. Pandey, V.N. Mishra
Published in De Gruyter Open Ltd
2020
Volume: 40
   
Issue: 4
Pages: 163 - 173
Abstract
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)-Baskakov operators, which reproduce the test function x2. 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)-Baskakov operators are explained and a Voronovskaja type result is obtained. © 2020 Walter de Gruyter GmbH, Berlin/Boston.
About the journal
JournalAnalysis (Germany)
PublisherDe Gruyter Open Ltd
ISSN01744747