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

Serdica Mathematical Journal (2006)

- Volume: 32, Issue: 4, page 303-322
- ISSN: 1310-6600

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topZapryanova, 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 -

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