A note on higher monotonicity properties of generalized Airy functions
Miloš Háčik, Peter Ivan (1984)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Miloš Háčik, Peter Ivan (1984)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Miloš Háčik (1980)
Archivum Mathematicum
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Ţincu, Ioan (2007)
General Mathematics
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Zabel, Ahmed, Alghamdi, Maryam (2011)
International Journal of Mathematics and Mathematical Sciences
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O'Leary, Mike (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Giuseppe Mastroianni, Gradimir V. Milovanović, Incoronata Notarangelo (2012)
Publications de l'Institut Mathématique
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Ioannis Argyros, Hongmin Ren (2008)
Open Mathematics
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We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide...