Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2688

 Title: On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions Authors: Draganov, Borislav R. Keywords: Convolution operatorsingular integralrate of convergencedegree of approximationK-functionalhomogeneous Banach space of periodic functionsFourier transform Issue Date: 2011 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 25, Fasc 1-2 (2011), 39p-59p Abstract: The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach space. Saturation of such operators is also considered. Description: AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85. URI: http://hdl.handle.net/10525/2688 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 25, 2011, Fasc. 1-2

Files in This Item:

File Description SizeFormat