ON APPROXIMATION ORDER OF FUNCTIONS BY GEGENBAUER SINGULAR INTEGRALS

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Ibrahimov E. J., Jafarova S. A.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, no.43, pp.39-52, 2011 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2011
• Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.39-52
• Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In the paper [1] we have considered a problem on approximation of lacolly summable functions by Gegenbauer singular integrals and obtained exact orderof-pointwise convergence estimate. Here we obtained the Lp,lambda convergence estimates and asymptotic theorems on approximation of functions by these integrals. The obtained results are the analogies of appropriate results from [2]-[4].