Turkish Journal
of
Mathematics
math@tubitak.gov.tr
Turkish Journal of Mathematics
Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear FunctionsTOBB Economics and Technology University,
Faculty of Arts and Sciences,
Department of Mathematics,
Söđütözü TR-06530, Ankara, TURKEY
e-mail: oduman@etu.edu.tr
Mehmet Ali ÖZARSLAN
Eastern Mediterranean University,
Faculty of Arts and Sciences,
Department of Mathematics,
Gazimagusa, Mersin 10, TURKEY
e-mail: mehmetali.ozarslan@emu.edu.tr
Biancamaria Della VECCHIA
Dipartimento di Matematica,
Universitá di Roma ``La Sapienza''
Piazzale Aldo Moro 2,
00185 Roma, ITALY
e-mail: biancamaria.dellavecchia@uniroma1.it
Abstract: In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2,+\infty) than the classical Szász-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.
Key Words: Szász-Mirakjan operators, Szász-Mirakjan-Kantorovich operators, the Korovkin-type approximation theorem, modulus of continuity, Lipschitz class functionals, Voronovskaya type theorem.
Turk. J. Math., 33, (2009), 151-158.
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Other articles published in the same issue: Turk. J. Math.,vol.33,iss.2.