Abstract
In this paper we provide justification of the general projection polynomial method for solution of periodical fractional integral equations in two Holder spaces.
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S. G. Samko, A. A. Kilbas, and O. I. Marichev, Integrals and Derivatives of Fractional Order and Some of Their Applications (Science and Technology, Minsk, 1987).
A. Zygmund, Trigonometric Series (Gostekhizdat, Moscow, 1939).
B. G. Gabdulkhayev, Direct Methods for Solving Singular Integral Equations of the First Kind Kazan (Kazan University Press, Kazan, 1994).
B. G. Gabdulkhayev, in Proceedings of the International Conference by Constructive Theory of Functions (Varna, 1970), pp. 35–49.
B. G. Gabdulkhayev, Optimal Approximations of Linear Problems Solutions (Kazan University Press, Kazan, 1980).
S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators (Nauka, Moscow, 1978).
V. A. Trenogin, Functional Analysis (Nauka, Moscow, 1980).
L. V. Kantorovich, G. P. Akilov, Functional Analysis, 3rd ed. (Nauka, Moscow, 1984).
V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials (Nauka, Moscow, 1977).
V. V. Zhuk, Sci. Nauchn. Semin. POMI. 350, 70 (2007).
L. B. Yermolayeva, Cand. Sci. (Phys.-Math.) Dissertation (Kazan, 1987).
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Submitted by F. G. Avhadiev
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Agachev, J.R., Galimyanov, A.F. About the convergence of the general projection polynomial method for a class of periodic fractional-integral equations. Lobachevskii J Math 35, 211–217 (2014). https://doi.org/10.1134/S1995080214030020
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DOI: https://doi.org/10.1134/S1995080214030020