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International Journal of Latest Research in Science and Technology

DOI:10.29111/ijlrst   ISRA Impact Factor:3.35

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ON DIFFERENTIABILITY OF λ RIESZ POTENTIALS AND THEIR APPLICATION.

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.5 Issue 1, pp 70-73,Year 2016

ON DIFFERENTIABILITY OF λ RIESZ POTENTIALS AND THEIR APPLICATION.

Inan Cinar

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Received : 11 January 2016; Accepted : 25 February 2016 ; Published : 29 February 2016

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Abstract

In this work the -Riesz potentials are given and the problem of its totally differentiability is investigated. Numerical experiments support theoritical results.

Key Words   
Nonizotropic distance, differentiability

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References
  1. Mizuta, On the Differentiability of Riesz Potentials of functions, Hiroshima Math. J., 17,355-359 (1987).
  2. Cinar, On Non-Isotropic Riesz Potential, Indian Journal of Pure and Applied Mathematics, 28 (9), 1197-1205,(1997).
  3. Cinar, The Hardy-Littlewood Sobolev Inequality for Non-Izotropic Riesz Potentials, Turkish Journal of Mathematics, Volume 21, Number 2, 153-157,(1997).
  4. Cinar, On Differentiability of Generalized Riesz Potentials, Pure and Applied Mathematika Science, Vol. LIV, No. 1-2, 81-89, (2001).
  5. Cinar, H. Duru, On Continuity Properties of Potentials Depending on -distance, Applied Math. and Computation,139 (2003) 531-534.

 

To cite this article

Inan Cinar , " On Differentiability Of λ Riesz Potentials And Their Application. ", International Journal of Latest Research in Science and Technology . Vol. 5, Issue 1, pp 70-73 , 2016

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