A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals

Zapryanova, T.. "A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals." Serdica Mathematical Journal 32.4 (2006): 303-322. <http://eudml.org/doc/281481>.

@article{Zapryanova2006,
abstract = {2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness. This modulus is based on the classical one taken on a certain linear transform of the function.},
author = {Zapryanova, T.},
journal = {Serdica Mathematical Journal},
keywords = {K-Functional; Modulus of Smoothness; Jackson Integral; -functional; modulus of smoothness; Jackson integral},
language = {eng},
number = {4},
pages = {303-322},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals},
url = {http://eudml.org/doc/281481},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Zapryanova, T.
TI - A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 4
SP - 303
EP - 322
AB - 2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness. This modulus is based on the classical one taken on a certain linear transform of the function.
LA - eng
KW - K-Functional; Modulus of Smoothness; Jackson Integral; -functional; modulus of smoothness; Jackson integral
UR - http://eudml.org/doc/281481
ER -