ON APPROXIMATION OF FUNCTIONS BY GEGEN BAWER SINGULAR INTEGRALS

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istinad üçün kopyala

Ibrahimov E. J., Jafarova S. A.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, no.41, pp.67-78, 2010 (ESCI)

• Nəşrin Növü: Article / Article
• Nəşr tarixi: 2010
• jurnalın adı: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI)
• Səhifə sayı: pp.67-78
• Adres: Bəli

Qısa məlumat

In paper [1] we considered a problem on approximation of locally summable functions by Gegenbawer singular integrals. Here, we introduce the notion of Gegebawer singular integral with identical approximation kernel and clarify their convergence both in the nutric of the space L-p,L-lambda and at typical points of Lebesgue type. The obtained results are the analogies of appropriate results from the monograph [3].