A THEOREM ON WEIGHTED APPROXIMATION BY SINGULAR INTEGRAL OPERATORS

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Guller O. O., Ibikli E.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.67, no.2, pp.89-98, 2018 (ESCI)

• Publication Type: Article / Article
• Volume: 67 Issue: 2
• Publication Date: 2018
• Doi Number: 10.1501/commua1_0000000864
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.89-98
• Keywords: mu-generalized Lebesgue point, pointwise convergence, rate of convergence, 2 VARIABLES, KERNELS
• Ankara University Affiliated: Yes

Abstract

In this paper, pointwise approximation of functions f is an element of L-1,(phi)(R) by the convolution type singular integral operators given in the following form: