Strong Converse Results for Linking Operators and Convex Functions
Joint Authors
Acu, Ana-Maria
Heilmann, Margareta
Rasa, Ioan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-07
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We consider a family Bn,ρc of operators which is a link between classical Baskakov operators (for ρ=∞) and their genuine Durrmeyer type modification (for ρ=1).
First, we prove that for fixed n,c and a fixed convex function f, Bn,ρcf is decreasing with respect to ρ.
We give two proofs, using various probabilistic considerations.
Then, we combine this property with some existing direct and strong converse results for classical operators, in order to get such results for the operators Bn,ρc applied to convex functions.
American Psychological Association (APA)
Acu, Ana-Maria& Heilmann, Margareta& Rasa, Ioan. 2020. Strong Converse Results for Linking Operators and Convex Functions. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1185380
Modern Language Association (MLA)
Acu, Ana-Maria…[et al.]. Strong Converse Results for Linking Operators and Convex Functions. Journal of Function Spaces No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1185380
American Medical Association (AMA)
Acu, Ana-Maria& Heilmann, Margareta& Rasa, Ioan. Strong Converse Results for Linking Operators and Convex Functions. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1185380
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185380