# Local approximation properties of certain class of linear positive operators via I-convergence

Mehmet Özarslan; Hüseyin Aktuǧlu

Open Mathematics (2008)

- Volume: 6, Issue: 2, page 281-286
- ISSN: 2391-5455

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topMehmet Özarslan, and Hüseyin Aktuǧlu. "Local approximation properties of certain class of linear positive operators via I-convergence." Open Mathematics 6.2 (2008): 281-286. <http://eudml.org/doc/269424>.

@article{MehmetÖzarslan2008,

abstract = {In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I-convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I-convergence sense.},

author = {Mehmet Özarslan, Hüseyin Aktuǧlu},

journal = {Open Mathematics},

keywords = {A-statistical convergence; I-convergence; modulus of continuity; local smoothness},

language = {eng},

number = {2},

pages = {281-286},

title = {Local approximation properties of certain class of linear positive operators via I-convergence},

url = {http://eudml.org/doc/269424},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Mehmet Özarslan

AU - Hüseyin Aktuǧlu

TI - Local approximation properties of certain class of linear positive operators via I-convergence

JO - Open Mathematics

PY - 2008

VL - 6

IS - 2

SP - 281

EP - 286

AB - In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I-convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I-convergence sense.

LA - eng

KW - A-statistical convergence; I-convergence; modulus of continuity; local smoothness

UR - http://eudml.org/doc/269424

ER -

## References

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