Acu, A.M., Dancs, M. & Radu, V.A. (2020) Communications on Pure & Applied Analysis [Matematică, Q2]

Publicat: 06 Noiembrie 2020

Acu, A.M., Dancs, M. & Radu, V.A. (2020) Representations for the inverses of certain operators. Communications on Pure & Applied Analysis, 19(8), 4097-4109.

DOI: https://doi.org/10.3934/cpaa.2020182

✓ Publisher: American Institute of Mathematical Sciences
✓ Web of Science Core Collection: Science Citation Index Expanded
✓ Categories: Mathematics, applied; Mathematics
✓ Article Influence Score (AIS): 0.784 (2020) / Q2 in all categories

Abstract: Inverses of certain positive linear operators have been investigated in several recent papers, in connection with problems like decomposition of classical operators, representation of Lagrange-type operators, asymptotic formulas of Voronovskaja type. Motivated by such researches, in this paper we give some representations for the inverses of certain positive linear operators, as Bernstein, Beta, Bernstein - Durrmeyer, genuine Bernstein - Durrmeyer and Kantorovich operators. Moreover, some Voronovskaja type formulas for the inverses of these operators are obtained. Several techniques are used in order to get such results.

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