Strong Converse Results for Linking Operators and Convex Functions

Autor: Ana-Maria Acu, Margareta Heilmann, Ioan Rasa
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Function Spaces, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2020/4049167
Popis: 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.
Databáze: Directory of Open Access Journals
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje