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Stancu‐type generalization of Dunkl analogue of Szász–Kantorovich operators
Author(s) -
İçöz Gürhan,
Çekim Bayram
Publication year - 2016
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.3602
Subject(s) - mathematics , modulus of continuity , generalization , lipschitz continuity , type (biology) , pure mathematics , rate of convergence , order (exchange) , exponential function , operator theory , convergence (economics) , mathematical analysis , discrete mathematics , ecology , channel (broadcasting) , finance , economic growth , economics , biology , engineering , electrical engineering
The purpose of the paper is to introduce Stancu‐type linear positive operators generated by Dunkl generalization of exponential function. We present approximation properties with the help of well‐known Korovkin‐type theorem and weighted Korovkin‐type theorem and also acquire the rate of convergence in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K‐functional, and second‐order modulus of continuity by Dunkl analogue of Szász operators. Copyright © 2015 John Wiley & Sons, Ltd.