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Approximation properties of Szász‐Mirakyan‐Kantorovich type operators
Author(s) -
Aral Ali,
Limmam Mohamed Lemine,
Ozsarac Firat
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5280
Subject(s) - mathematics , exponential type , exponential function , convergence (economics) , type (biology) , rate of convergence , polynomial , operator theory , mathematical analysis , ecology , channel (broadcasting) , engineering , electrical engineering , economics , biology , economic growth
In this paper, we introduce and study new type Szász‐Mirakyan‐Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead of the usual polynomial type functions. As a first result, we prove Korovkin type approximation theorems through exponential weighted convergence. The rate of convergence of the operators is obtained for exponential weights.