Results 11 to 20 of about 153 (152)

Baskakov-Kantorovich operators reproducing affine functions [PDF]

open access: yes, 2021
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
core   +2 more sources

Statistical Korovkin-type theorem for monotone and sublinear operators [PDF]

open access: yes, 2023
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
core   +2 more sources

Approximation by a generalization of Szász-Mirakjan type operators [PDF]

open access: yes, 2020
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
core   +2 more sources

A new class of Bernstein-type operators obtained by iteration [PDF]

open access: yes, 2023
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
core   +2 more sources

Global approximation properties of modified SMK operators [PDF]

open access: yes, 2010
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
core   +1 more source

A−Summation process in the space of locally integrable functions [PDF]

open access: yes, 2020
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
core   +2 more sources

Modified Kantorovich-Stancu operators (II) [PDF]

open access: yes, 2019
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
core   +2 more sources

Sharp inequalities for the rates of convergence of the iterates of some operators which preserve the constants [PDF]

open access: yes, 2021
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
core   +2 more sources

Modifying an approximation process using non-Newtonian calculus [PDF]

open access: yes, 2020
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
core   +2 more sources

Triangular ideal relative convergence on modular spaces and Korovkin theorems [PDF]

open access: yes, 2023
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
core   +2 more sources

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