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Approximation by Complex Potentials Generated by the Euler's Beta Function

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

Key Words:

Author Name

AMS Codes:

Abstract (2. Language): 
In this paper we find the exact orders of approximation of analytic functions by the complex versions of several potentials generated by the Euler’s Beta function and by some complex singular integrals.
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  • 6
1150-1164
  • English

REFERENCES

References: 

[1] T.M. Flett. Temperatures, Bessel Potentials and Lipschitz Space. Proceedings of the London
Mathematical Society, 22(3):385–451, 1971.
[2] S.G. Gal. Approximation by Complex Bernstein and Convolution Type Operators. World
Scientific Publishing Company, New Jersey, London, Singapore, Beijing, Shanghai, Hong
Kong, Taipei, Chennai, 2009.
[3] S.G. Gal. Approximation by Complex Potentials Generated by the Gamma Function. Turkish
Journal of Mathematics, accepted for publication.

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