Approximation of non-bounded continuous functions by certain sequences of linear positive operators or polynomials
L. Hsu (1961)
Studia Mathematica
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L. Hsu (1961)
Studia Mathematica
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Vijay Gupta (2009)
Annales UMCS, Mathematica
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The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.
J. C. Merlo (1967)
Annales Polonici Mathematici
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V. M. Fedorov (1989)
Banach Center Publications
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M. A. Malik (1969)
Annales Polonici Mathematici
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H. N. Odogwu (1989)
Publications de l'Institut Mathématique
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Thomas Ernst (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
R. B. Saxena (1963)
Publications de l'Institut Mathématique
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Octavian Agratini, Ioan A. Rus (2003)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.