Skip to main content
Log in

On justification of general polynomial projection method for solving periodic fractional integral equations

  • Published:
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this paper we subtantiate a general polynomial projection method for solving periodic integral equations with Holder coefficients and fractional integral Weyl operator in the main part.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. R. Agachev and A. F. Galimjanov, Lobachevskii J.Math. 35(3) (2014).

    Google Scholar 

  2. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach, New York, 1993).

    MATH  Google Scholar 

  3. A. Zygmund, Trigonometric Series (Cambridge Univ. Press, Cambridge, 1959), Vol. 2.

    MATH  Google Scholar 

  4. B. G. Gabdulkhaev, Proc. of the Int. Conf. by Constructive Theory of Functions (Varna, 1970), pp. 35–49.

    Google Scholar 

  5. B. G. Gabdulkhaev, Optimal Approximations of Linear Problems Solutions (Izd. Kazan. Univ., Kazan, 1980) [in Russian].

    Google Scholar 

  6. I. K. Daugavet, Introduction to the Theory of Approximation Functions (Izd. Leningrad. Univ., Leningrad, 1977) [in Russian].

    MATH  Google Scholar 

  7. V. A. Trenogin, Functional Analysis (Nauka, Moscow, 1980) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. R. Agachev.

Additional information

Submitted by E. K. Lipachev

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Agachev, J.R., Galimyanov, A.F. On justification of general polynomial projection method for solving periodic fractional integral equations. Lobachevskii J Math 36, 97–102 (2015). https://doi.org/10.1134/S1995080215020031

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995080215020031

Keywords and phrases

Navigation