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The article is devoted to the best approximations of solutions of integral equations that are defined on the line segment and have a fractional Riemann-Liouville integral in the main part.… Click to show full abstract
The article is devoted to the best approximations of solutions of integral equations that are defined on the line segment and have a fractional Riemann-Liouville integral in the main part. These approximations are constructed with the “generalized” projection method using the apparatus of algebraic polynomials. At the same time, the Fredholm property of an integral equation operator in a special pair of Holder spaces of the desired elements and right-hand sides plays an important role.
Keywords:
best approximations;
solutions fractional;
approximations solutions;
riemann liouville;
integral equations;
operator
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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recommendations!