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- Title
APPROXIMATION OF BOREL DERIVATIVES OF FUNCTIONS VIA NON-LINEAR SINGULAR INTEGRAL OPERATORS.
- Authors
Karsli, Harun; Tiryaki, Ismail U.
- Abstract
In this paper, we consider convolution type nonlinear singular integral operators of the form ... where ha; bi is an arbitrary interval in ... bi and K is a family of kernels satisfying suitable conditions. We give some approximation results with regard to the convergence of the operators T to right, left, and symmetric Borel differentiable functions. We note that our results extend some of the previous results obtained in [5] and [6] which they cope with the linear singular integral operators.
- Subjects
INTEGRAL operators; NONLINEAR functions; DIFFERENTIABLE functions; SINGULAR integrals
- Publication
Palestine Journal of Mathematics, 2021, Vol 10, Issue 2, p673
- ISSN
2219-5688
- Publication type
Article