A method for summability of Lagrange interpolation.
Mache, Detlef H. (1994)
International Journal of Mathematics and Mathematical Sciences
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Mache, Detlef H. (1994)
International Journal of Mathematics and Mathematical Sciences
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Lupaş, Alexandru (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Balázs, K., Kilgore, T. (1995)
International Journal of Mathematics and Mathematical Sciences
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Szabados, J. (2006)
Surveys in Approximation Theory (SAT)[electronic only]
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Sun, Xiehua, Xie, Tingfan (1997)
International Journal of Mathematics and Mathematical Sciences
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Peretz, R. (1993)
International Journal of Mathematics and Mathematical Sciences
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Gregorac, R.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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Zbigniew Walczak (2008)
Czechoslovak Mathematical Journal
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The actual construction of the Szász-Mirakyan operators and its various modifications require estimations of infinite series which in a certain sense restrict their usefulness from the computational point of view. Thus the question arises whether the Szász-Mirakyan operators and their generalizations cannot be replaced by a finite sum. In connection with this question we propose a new family of linear positive operators.
Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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William Connett, Alan Schwartz (1975)
Studia Mathematica
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Juan Varona (2006)
Open Mathematics
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We give a short proof to characterize the cases when arccos(√r), the arccosine of the squareroot of a rational number r ∈ [0, 1], is a rational multiple of π: This happens exactly if r is an integer multiple of 1/4. The proof relies on the well-known recurrence relation for the Chebyshev polynomials of the first kind.