BulDML at Institute of Mathematics and Informatics: A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals

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BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Serdica Mathematical Journal >
2006 >
Volume 32, Number 4 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2538

Title:	A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals
Authors:	Zapryanova, T.
Keywords:	K-Functional Modulus of Smoothness Jackson Integral
Issue Date:	2006
Publisher:	Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:	Serdica Mathematical Journal, Vol. 32, No 4, (2006), 303p-322p
Abstract:	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.
Description:	2000 Mathematics Subject Classification: 41A25, 41A36.
URI:	http://hdl.handle.net/10525/2538
ISSN:	1310-6600
Appears in Collections:	Volume 32, Number 4

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