Integral presentations of deviations of de la Vallee Poussin right-angled sums
Vladimir I. Rukasov; Olga G. Rovenska
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2009)
- Volume: 48, Issue: 1, page 129-137
- ISSN: 0231-9721
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topRukasov, Vladimir I., and Rovenska, Olga G.. "Integral presentations of deviations of de la Vallee Poussin right-angled sums." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 48.1 (2009): 129-137. <http://eudml.org/doc/35178>.
@article{Rukasov2009,
abstract = {We investigate approximation properties of de la Vallee Poussin right-angled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of deviations of de la Vallee Poussin sums on the classes $C_\{\beta ,\infty \}^\{m\alpha \}$.},
author = {Rukasov, Vladimir I., Rovenska, Olga G.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Right-angled sums of Vallee Poussin; integral presentations; Fourier series; right-angled sums of Vallee Poussin; integral representations; Fourier series},
language = {eng},
number = {1},
pages = {129-137},
publisher = {Palacký University Olomouc},
title = {Integral presentations of deviations of de la Vallee Poussin right-angled sums},
url = {http://eudml.org/doc/35178},
volume = {48},
year = {2009},
}
TY - JOUR
AU - Rukasov, Vladimir I.
AU - Rovenska, Olga G.
TI - Integral presentations of deviations of de la Vallee Poussin right-angled sums
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2009
PB - Palacký University Olomouc
VL - 48
IS - 1
SP - 129
EP - 137
AB - We investigate approximation properties of de la Vallee Poussin right-angled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of deviations of de la Vallee Poussin sums on the classes $C_{\beta ,\infty }^{m\alpha }$.
LA - eng
KW - Right-angled sums of Vallee Poussin; integral presentations; Fourier series; right-angled sums of Vallee Poussin; integral representations; Fourier series
UR - http://eudml.org/doc/35178
ER -
References
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