Statistical approximation by positive linear operators

O. Duman; C. Orhan

Statistical approximation by positive linear operators

O. Duman; C. Orhan

Studia Mathematica (2004)

Volume: 161, Issue: 2, page 187-197
ISSN: 0039-3223

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Abstract

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Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence Tₙ(f;x) of positive linear operators acting from a weighted space

C_{ϱ ₁}

into a weighted space

B_{ϱ ₂}

.

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O. Duman, and C. Orhan. "Statistical approximation by positive linear operators." Studia Mathematica 161.2 (2004): 187-197. <http://eudml.org/doc/285033>.

@article{O2004,
abstract = {Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence Tₙ(f;x) of positive linear operators acting from a weighted space $C_\{ϱ₁\}$ into a weighted space $B_\{ϱ₂\}$.},
author = {O. Duman, C. Orhan},
journal = {Studia Mathematica},
keywords = {A-density; A-statistical convergence; sequence of positive linear operators; weight function; weighted space; Korovkin type theorem},
language = {eng},
number = {2},
pages = {187-197},
title = {Statistical approximation by positive linear operators},
url = {http://eudml.org/doc/285033},
volume = {161},
year = {2004},
}

TY - JOUR
AU - O. Duman
AU - C. Orhan
TI - Statistical approximation by positive linear operators
JO - Studia Mathematica
PY - 2004
VL - 161
IS - 2
SP - 187
EP - 197
AB - Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence Tₙ(f;x) of positive linear operators acting from a weighted space $C_{ϱ₁}$ into a weighted space $B_{ϱ₂}$.
LA - eng
KW - A-density; A-statistical convergence; sequence of positive linear operators; weight function; weighted space; Korovkin type theorem
UR - http://eudml.org/doc/285033
ER -

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