Results 11 to 20 of about 153 (152)
Baskakov-Kantorovich operators reproducing affine functions [PDF]
We present a new Kantorovich modification of Baskakov operators which reproduce affine functions. We present an upper estimate for the rate of convergence of the new operators in polynomial weighted spaces and characterize all functions for which there ...
BUSTAMANTE, Jorge
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Statistical Korovkin-type theorem for monotone and sublinear operators [PDF]
In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples.
IANCU, Ionu¸t T., Ionut T. Iancu
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Approximation by a generalization of Szász-Mirakjan type operators [PDF]
In the present paper we propose a new generalization of Szász - Mirakjan-type operators. We discuss their weighted convergence and rate of convergence via weighted modulus of continuity.
GUPTA, Nandita, ARIF SIDDIQUI, Mohammed
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A new class of Bernstein-type operators obtained by iteration [PDF]
A new class of Bernstein-type operators are obtained by applying an iterative method of modifications starting from the Bernstein operators. These operators have good properties of approximation of functions and of their derivatives.
Radu Paltanea +3 more
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Global approximation properties of modified SMK operators [PDF]
In this paper, introducing a general modification of the classical Sz?sz-Mirakjan-Kantorovich (SMK) operators, we study their global approximation behavior. Some special cases are also presented. 2010 Mathematics Subject Classifications. 41A25, 41A36. .
Duman, Oktay +3 more
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A−Summation process in the space of locally integrable functions [PDF]
In this paper, using the concept of summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from Lp,q (loc) , the space of locally integrable functions, into itself.
ORHAN, Cihan, ȘAHIN BAYRAM, Nilay
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Modified Kantorovich-Stancu operators (II) [PDF]
In this paper, we introduce a new kind of Bernstein-Kantorovich- Stancu operators. These operators generalize the operators introduced in the paper [2] by V. Gupta, G. Tachev and A.M. Acu.
OPRIȘ, Adonia-Augustina, GAVREA, Ioan
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Sharp inequalities for the rates of convergence of the iterates of some operators which preserve the constants [PDF]
In this paper we give estimates for the rates of convergence for the iterates of some positive linear operators which preserve only the constants. We obtain sharp inequalities when we use both continuous functions and differen- tiable functions.
BIROU, Marius Mihai
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Modifying an approximation process using non-Newtonian calculus [PDF]
In the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus. In this framework, a convergence property and the error of approximation are established.
AGRATINI, Octavian, KARSLI, Harun
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Triangular ideal relative convergence on modular spaces and Korovkin theorems [PDF]
In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our
ÇINAR, Selin, YILDIZ, Sevda
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